What are the solutions to the equation x^2-18x=7 ?

The solutions to the equation x^2-18x=7 are x=9+2sqrt(22),x=9-2sqrt(22)

Find the zeros of x^2-18x=7

The zeros of x^2-18x=7 are x=9+2sqrt(22),x=9-2sqrt(22)

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x^{2} - 18 x = 7

x = 9 + 222, x = 9 - 222

Decimal Notation

x = 18.38083 \dots, x = - 0.38083 \dots

Solution steps

x^{2} - 18 x = 7

Move

7

to the left side

x^{2} - 18 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot ( - 7 )}{2 \cdot 1}

(- 18)^{2} - 4 \cdot 1 \cdot (- 7) = 422

x_{1, 2} = \frac{- ( - 18 ) \pm 4 22}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 4 22}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 4 22}{2 \cdot 1}

x = \frac{- ( - 18 ) + 4 22}{2 \cdot 1} : 9 + 222

x = \frac{- ( - 18 ) - 4 22}{2 \cdot 1} : 9 - 222

The solutions to the quadratic equation are:

x = 9 + 222, x = 9 - 222

x^{2} - 18 x = 6

y, y^{2} = x (3 - x)^{2}

- 5 (x - 3) + 2 = \frac{1}{2} x (x - 2)

x^{2} - 2 x + 1 = x + 1

3 x^{2} - 5 x = - 1

What are the solutions to the equation x^2-18x=7 ?
The solutions to the equation x^2-18x=7 are x=9+2sqrt(22),x=9-2sqrt(22)
Find the zeros of x^2-18x=7
The zeros of x^2-18x=7 are x=9+2sqrt(22),x=9-2sqrt(22)