Given that the roots of a quadratic equation are 20 and -7, what is the corresponding quadratic equation?

Quadratic Equations MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

PPSCFPSCNTSPakistan govt jobs
Subject
Quadratic Equationsmathematics-mcqs › quadratic-equations
Published
10 Jul 2019
Last updated
28 May 2026

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Explanation

A quadratic equation with roots r1 and r2 can be written as x² - (r1 + r2)x + (r1 × r2) = 0. Here, the sum of the roots is 20 + (-7) = 13, and the product is 20 × (-7) = -140. Substituting these values gives the equation x² - 13x - 140 = 0. Among the options, option A matches this form.

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