Answered

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8. The square of a number decreased by 3 times the number is 28. Find allpossible values for the number.

Sagot :

Unknown values

We need to find a number x

We know its square (x²) decreased by 3 times it (3x) is 28. Then

x² - 3x = 28

x² - 3x - 28 = 0 [Simplifying the equation]

Since - 7 + 4 = - 3 and (-7) (4) = - 28, we factor the polynomial:

(x - 7)(x + 4) = 0 [Factoring the polynomial]

When a multiplication, like (x - 7)(x + 4), equals cero?

it equals cero if and only if

(x - 7) = 0 or (x + 4) = 0

Then, simplifying both equations

x = 7 or x = - 4

Answer: x = 7 or x = - 4

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