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5 votes
For what values of x is x2-36=5x true?

0 -9 and -4
O4 and 9
O4 and -9
o 9 and 4

User Joda
by
9.4k points

1 Answer

1 vote

Answer:

-4 and 9

Explanation:

we have


x^(2) -36=5x

we know that

The formula to solve a quadratic equation of the form


ax^(2) +bx+c=0

is equal to


x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}

in this problem we have


x^(2) -36=5x


x^(2)-5x-36=0

so


a=1\\b=-5\\c=-36

substitute in the formula


x=\frac{-(-5)(+/-)\sqrt{-5^(2)-4(1)(-36)}} {2(1)}


x=\frac{5(+/-)√(169)} {2}


x=\frac{5(+/-)13} {2}


x=\frac{5(+)13} {2}=9


x=\frac{5(-)13} {2}=-4

therefore

The equation is true for -4 and 9

User Ivan Mir
by
8.1k points

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