# Write an equation for the following, then solve. Show your work. If a number is subtracted from its square, the result is 90. Find the number(s).

1 answer

###### Question:

Write an equation for the following, then solve. Show your work.

If a number is subtracted from its square, the result is 90. Find the number(s).

If a number is subtracted from its square, the result is 90. Find the number(s).

## Answers

Answer:x = -9, 10Step-by-step explanation:[tex]x^2 - x = 90\\[/tex]Solve this as a quadratic equation, so subtract 90 from both sides:[tex]x^2-x-90=0[/tex]Factoring:[tex](x+9)(x-10) = 0[/tex]This means that:[tex]x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10[/tex]x can be -9 or 10.

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