What are the solutions to the equation x^2-6x=15 ?

The solutions to the equation x^2-6x=15 are x=3+2sqrt(6),x=3-2sqrt(6)

Find the zeros of x^2-6x=15

The zeros of x^2-6x=15 are x=3+2sqrt(6),x=3-2sqrt(6)

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x^{2} - 6 x = 15

x = 3 + 26, x = 3 - 26

Decimal Notation

x = 7.89897 \dots, x = - 1.89897 \dots

Solution steps

x^{2} - 6 x = 15

Move

15

to the left side

x^{2} - 6 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 15 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 15) = 46

x_{1, 2} = \frac{- ( - 6 ) \pm 4 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 6}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 6}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 6}{2 \cdot 1} : 3 + 26

x = \frac{- ( - 6 ) - 4 6}{2 \cdot 1} : 3 - 26

The solutions to the quadratic equation are:

x = 3 + 26, x = 3 - 26

7 = 3 x^{2} - 18 x + 7

8 x^{2} - 7 = 193

x, x^{2} + y^{2} + 6 x - 12 y + 45 = 0

x^{2} - 9 = x + 3

\frac{2}{3} (2 x - 3)^{2} + 12 = 8

What are the solutions to the equation x^2-6x=15 ?
The solutions to the equation x^2-6x=15 are x=3+2sqrt(6),x=3-2sqrt(6)
Find the zeros of x^2-6x=15
The zeros of x^2-6x=15 are x=3+2sqrt(6),x=3-2sqrt(6)