Which are the solutions to #x^2+9x=36#?

Answer 1

Isaiah Anthony

#x=-12#
#x=3#

#x^2+9x=36#

Subtract 36 from each side: #x^2+9x-36=0#

Two numbers that multiply to #-36# and add to #9# are: #-3# and #12#

#x^2-3x+12x-36=0#

#x(x-3)+12(x-3)=0#

#(x+12)(x-3)=0#

#x=-12# #x=3#

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Answer 2

Isaiah Anthony

To solve the equation ( x^2 + 9x = 36 ), you can follow these steps:

Move all terms to one side to set the equation to zero: ( x^2 + 9x - 36 = 0 ).
Factor the quadratic expression: ( (x + 12)(x - 3) = 0 ).
Set each factor equal to zero and solve for ( x ): ( x + 12 = 0 ) and ( x - 3 = 0 ).
Solve each equation: ( x = -12 ) and ( x = 3 ).

Therefore, the solutions to the equation ( x^2 + 9x = 36 ) are ( x = -12 ) and ( x = 3 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.