Ex 4.4, 1 - Find Nature Of Roots (i) 2x2 - 3x + 5 = 0 - Ex 4.4

Discriminant of the quadratic equation is D=-124. Step-by-step explanation: Given : The quadratic equation . To find : Write the discriminant of the quadratic equation ? Solution : The quadratic equation, General form - Equation is. where, a=1 , b=0, c=31. Therefore, Discriminant of the quadratic equation is D=-124.Step 3: The discriminant value will be displayed in the output field. Discriminant Definition. A discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation. The equations can discriminate between the possible types of answer, such as: When the discriminant value24 Step-by-step explanation: Given a quadratic equation in standard form, ax² + bx + c = 0 (a ≠ 0) Then the discriminant is b² - 4ac Given 2x + 5x² = 1 (subtract 1 from both sides)Calculator Use. This online calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax 2 + bx + c = 0 for x, where a ≠ 0, using the quadratic formula. The calculator solution will show work using the quadratic formula to solve the entered equation for real and complex roots.The discriminant actually tells you the nature of the roots of a quadratic equation or in other words, the number of x-intercepts, associated with a quadratic equation. Now we have an equation; #4x^2−4x+1=0# Now compare the above equation with quadratic equation #ax^2+bx+c=0#, we get #a=4, b=-4 and c = 1#. Hence the discriminant (D) is given by;

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This quadratic equation has one solution only. That's because adding zero is the same as subtracting zero. The solution is: x = 1 . Solve Quadratic Equation using the Quadratic Formula 5.3 Solving x 2-2x+1 = 0 by the Quadratic Formula .Find the Discriminant 2x^2+5x-4=0. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. Substitute in the values of , , and . Evaluate the result to find the discriminant.What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has? the discriminant is equal to −16, which means the equation has no real number solutions. the discriminant is equal to −16, which means the equation has two real numberSolve the quadratic equation. 0 = 5x2 - 2x + 6 2 See answers x is 8. no it x squared calculista calculista we have. Group terms that contain the same variable, and move the constant to the opposite side of the equation. Factor the leading coefficient . Complete the square. Remember to balance the equation by adding the same constants to each side

What is the discriminant of the quadratic equation 2x

Examine the nature of the roots of the following quadratic equation. 2x 2 - 3x - 1 = 0 Solution : The given quadratic equation is in the general form. ax 2 + bx + c = 0. Then, we have a = 2, b = -3 and c = -1. Find the value of the discriminant b 2 - 4ac. b 2 - 4acD = 1 Hence the discriminant of the quadratic equation 2x² - 5x + 3 = 0 is 1. 2) Given : x² + 2x + 4 = 0 On comparing the given equation with ax² + bx + c = 0 Here, a = 1 , b = 2 and c = 4 D(discriminant) = b² - 4ac D = (2)² - 4 x 1 x 4 D = 4 - 16 = - 12 D = -12 Hence,the discriminant of the quadratic equation x² + 2x + 4 = 0 is1. Use the discriminant to determine the nature of the roots of x2 + 2x + 5 = 0. A. no real roots B. one real root C. two distinct real roots D. three distinct real roots 2. Use the discriminant to determine the nature of the roots of 4x2 + 15x + 10 = 0. A. no real roots B. one real root C. two distinct real roots D. three distinct real roots 3.The discriminant of the quadratic equation following `ax^2+bx+c=0` is equal to `b^2-4ac`. The notation used for the discriminant is `Delta` (delta), so we have `Delta=b^2-4ac`. The calculator has a feature which allows the calculation of the discriminant online of quadratic equations.the discriminant of the quadratic equation . Write the equation in the form of ax^2 +bx+c=0. To find out discriminant we use formula. From the given equation the value of a=5, b= 2 and c=-1. Now we plug in the values in the formula

Learn all Concepts of Chapter 4 Class 10 (with VIDEOS). Check - Quadratic Equations - Class 10

(*1*) Example 18 Find the discriminant of the equation 3x2 2x + 1/3 = 0 and hence find the nature of its roots. Find them, if they're real. 3x2 2x + 1/3=0 (3 3 2 3 2 + 1)/3=0 9x2 6x +1 = 0 3 9x2 6x + 1 = 0 Comparing equation with ax2 + bx + c = 0 a = 9, b = 6 , c = 1 We know that D = b2 4ac D = ( 6)2 4 9 1 D = 36 36 D = 0 Since D = 0 The given equation has two equivalent real roots Now the usage of quadratic components to search out roots x = ( )/2 Putting values x = ( ( 6) 0)/(2 9) x = (6 + 0 )/18 x = (6 )/18 x = 1/3 Hence, the roots of the equation are 1/3 , 1/3 .

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