What are the solutions to the equation x^2-18x=-75 ?

The solutions to the equation x^2-18x=-75 are x=9+sqrt(6),x=9-sqrt(6)

Find the zeros of x^2-18x=-75

The zeros of x^2-18x=-75 are x=9+sqrt(6),x=9-sqrt(6)

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x^{2} - 18 x = - 75

x = 9 + 6, x = 9 - 6

Decimal Notation

x = 11.44948 \dots, x = 6.55051 \dots

Solution steps

x^{2} - 18 x = - 75

Move

75

to the left side

x^{2} - 18 x + 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 75}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot 75 = 26

x_{1, 2} = \frac{- ( - 18 ) \pm 2 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 2 6}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 2 6}{2 \cdot 1}

x = \frac{- ( - 18 ) + 2 6}{2 \cdot 1} : 9 + 6

x = \frac{- ( - 18 ) - 2 6}{2 \cdot 1} : 9 - 6

The solutions to the quadratic equation are:

x = 9 + 6, x = 9 - 6

t^{2} + t - 2 = 0

x^{2} - 2 x - 8 = 0

(n - 6) (n - 2) = - 9 n + 32

3 x^{2} - 16 x + 24 = 0

p, p^{1} \frac{v ^{1}}{t ^{1}} = p^{2} \frac{v ^{2}}{t ^{2}}

What are the solutions to the equation x^2-18x=-75 ?
The solutions to the equation x^2-18x=-75 are x=9+sqrt(6),x=9-sqrt(6)
Find the zeros of x^2-18x=-75
The zeros of x^2-18x=-75 are x=9+sqrt(6),x=9-sqrt(6)