What are the solutions to the equation x^2-18x=-66 ?

The solutions to the equation x^2-18x=-66 are x=9+sqrt(15),x=9-sqrt(15)

Find the zeros of x^2-18x=-66

The zeros of x^2-18x=-66 are x=9+sqrt(15),x=9-sqrt(15)

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x^{2} - 18 x = - 66

x = 9 + 15, x = 9 - 15

Decimal Notation

x = 12.87298 \dots, x = 5.12701 \dots

Solution steps

x^{2} - 18 x = - 66

Move

66

to the left side

x^{2} - 18 x + 66 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 66}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 66 = 215

x_{1, 2} = \frac{- ( - 18 ) \pm 2 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 2 15}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 2 15}{2 \cdot 1}

x = \frac{- ( - 18 ) + 2 15}{2 \cdot 1} : 9 + 15

x = \frac{- ( - 18 ) - 2 15}{2 \cdot 1} : 9 - 15

The solutions to the quadratic equation are:

x = 9 + 15, x = 9 - 15

x^{2} + \frac{1}{2} x + 3

x^{2} - 3 x + 2 = 2

4 (x^{2} - 4) - 5 (3 + 2 x) = - 7

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

3 (2 x - 5)^{2} - 15 = 48

What are the solutions to the equation x^2-18x=-66 ?
The solutions to the equation x^2-18x=-66 are x=9+sqrt(15),x=9-sqrt(15)
Find the zeros of x^2-18x=-66
The zeros of x^2-18x=-66 are x=9+sqrt(15),x=9-sqrt(15)