Two roots of quadratic equations are given; frame the equation.
(1) 10 and -10 Solution:Let α = 10 and β = -10∴ α + β = 10 – 10 = 0 α β = 10(-10) = – 100Quadratic equation isx2 – (α + β) x + α β = 0⇒ x2 – 0(x) – 100 = 0⇒ x2 – 100 = 0 (2) 1–3√5 and 1 + 3√5 Solution: (3) 0 and 7 Solution:
One of the roots of quadratic equation 2×2 + kx – 2 = 0 is -2, find k.
Find the value of discriminant for each of the following equation.
(1) 2y2 – y + 2 = 0 Solution: (2) 5m2 – m = 0 Solution: (3) √5×2 – x – √5 = 0 Solution:
Which of the following equations is quadratic?
Choose the correct answers for the following questions.
Solution:B. x (x + 5) = 2Explanation:It is in the form of ax2 + bx + c (2.) Out of the following equations which one is not a quadratic equation? A. x2 + 4x = 11 + x2B. x2 = 4xC. 5×2 = 90D. 2x – x2 = x2 + 5 Solution:A. x2 + 4x = 11 + x2Explanation:In all other options […]