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Choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8

Choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and-example-1
User Luis Pena
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Explanation :

To find the quadratic equation with a leading coefficient of 8 and solutions -10 and 7/8, we can use the factored form of a quadratic equation:

(x - r1)(x - r2) = 0

where r1 and r2 are the roots/solutions.

Substituting the given solutions, we have:

(x + 10)(x - 7/8) = 0

Expanding the equation and multiplying through by 8 to maintain the leading coefficient of 8, we get:

8(x + 10)(x - 7/8) = 0

8x(x - 7/8) + 8(10)(x - 7/8) = 0

8x(x - 7/8) + 80(x - 7/8) = 0

8x² - 7x + 80x - 70 = 0

8x² + 73x - 70 = 0

Therefore, the quadratic equation with a leading coefficient of 8 and solutions -10 and 7/8 is:

Answer : 8x² + 73x - 70 = 0

User Deni
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