Question

Write a quadratic equation in standard form with the given roots. Show your work to find the equation. -6, 5/2

Answer 1

x^2 + 7/2 + 15 is the answer.

Explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

`x^(2) + -(5)/(2)x + 6x + 15\\\\x^(2) + (7)/(2) + 15`

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