Make a quadratic equation, the roots of which are numbers: x1 = -8 x2 = 1.

univerkov | July 29, 2021 | education

The quadratic equation ax ^ 2 + bx + c = 0, having two roots x1 and x2, can be factorized by the formula:

ax ^ 2 + bx + c = a * (x – x1) * (x – x2);

Let a = 1, then:

1 * (x + 8) * (x – 1) = x ^ 2 + 8x – x – 8 = x ^ 2 + 7x – 8;

x ^ 2 + 7x – 8 = 0 is one of the equations that satisfy the condition of the problem.

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