Quadratic Equations · Class 10 · CBSE Mathematics

Which of the following equations has the sum of its roots equal to 3 and the product of its roots equal to -10?

Practice question from Quadratic Equations (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-517DFD

Which of the following equations has the sum of its roots equal to $3$ and the product of its roots equal to $-10$ ?

A. $x^2 - 3x - 10 = 0$ Correct answer
B. $x^2 + 3x - 10 = 0$
C. $x^2 - 3x + 10 = 0$
D. $x^2 + 3x + 10 = 0$

Solution

A quadratic equation with sum of roots $S$ and product of roots $P$ is given by $x^2 - Sx + P = 0$ . Substituting $S = 3$ and $P = -10$ , we get $x^2 - 3x - 10 = 0$ .

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