COMPLETING THE SQUARE METHOD QUADRATIC EQUATIONS 04 Class 10th Mathematics (Practice Sheet) 1 What is the first step in solving a quadratic equation using the method of completing the square? A. Factor the equation B. Divide the equation by the coefficient of x2 C. Rearrange the equation to isolate x D. Take the square root of the constant term 2 If you're given the equation 2x2 + 4x - 3 = 0, what is the next step to complete the square? A. Rearrange the equation to isolate x B. Divide the equation by 2 C. Factor the equation D. Take the square root of the constant term 3 What is the value of the constant "c" in the equation (x + 3)2 = c if (x + 3) is a perfect square trinomial? A. c = 9 B. c = 3 C. c = -3 D. c = 0 4 Given the equation x2 + 6x + 9 = 0, what are the roots of the equation after completing the square? A. x = 3 and x = -3 B. x = -3 and x = 9 C. x = -9 and x = 3 D. x = 6 and x = 9 5 In the equation 2x2 - 10x + 12 = 0, what is the first step to complete the square? A. Factor the equation B. Divide the equation by 2 C. Rearrange the equation to isolate x D. Take the square root of 12 6 Check whether the equation 6x2 - 7x + 2 = 0 has real roots, and If it has, find them by the method of completing the squares. 7 Find the roots of the following quadratic equations, if they exist, by the method of completing the square: 2x2 - 7x + 3 = 0 8 Use completing the square method to solve: x2 + 4x - 21 = 0. 9 Use completing the square formula to solve: x2 - 4x - 8 = 0. 10 Solve the following quadratic equations by completing the square method. 9y2 - 12y + 2 = 0 Page 1 Email: Phone No: Website:
[email protected] +91 93299 65211 www.brisklearning.com Address: Office No. 605, CTS No. 658, Gayatri Bhuvan, A & B, Kandivali, Dattani Park, Thakur Village, Kandivali East, Mumbai, Maharashtra 400101