What are the solutions to the equation x^2-16x=-100 ?

The solutions to the equation x^2-16x=-100 are x=8+6i,x=8-6i

Find the zeros of x^2-16x=-100

The zeros of x^2-16x=-100 are x=8+6i,x=8-6i

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x^{2} - 16 x = - 100

x = 8 + 6 i, x = 8 - 6 i

Solution steps

x^{2} - 16 x = - 100

Move

100

to the left side

x^{2} - 16 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 100}{2 \cdot 1}

Simplify

(- 16)^{2} - 4 \cdot 1 \cdot 100 : 12 i

x_{1, 2} = \frac{- ( - 16 ) \pm 12 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 12 i}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 12 i}{2 \cdot 1}

x = \frac{- ( - 16 ) + 12 i}{2 \cdot 1} : 8 + 6 i

x = \frac{- ( - 16 ) - 12 i}{2 \cdot 1} : 8 - 6 i

The solutions to the quadratic equation are:

x = 8 + 6 i, x = 8 - 6 i

2 (x - 9)^{2} + 13 = 21

x^{2} + 4 x + 4 = 10

a, - 32 a w - 15 a^{2} = - 7 w^{2}

3 x^{2} + 8 x + 8 = 4

(x - 9)^{2} + 26 = 31

What are the solutions to the equation x^2-16x=-100 ?
The solutions to the equation x^2-16x=-100 are x=8+6i,x=8-6i
Find the zeros of x^2-16x=-100
The zeros of x^2-16x=-100 are x=8+6i,x=8-6i