What are the solutions to the equation x^2-6x-15=0 ?

The solutions to the equation x^2-6x-15=0 are x=3+2sqrt(6),x=3-2sqrt(6)

Find the zeros of x^2-6x-15=0

The zeros of x^2-6x-15=0 are x=3+2sqrt(6),x=3-2sqrt(6)

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

x = 3 + 26, x = 3 - 26

Decimal Notation

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

Solution steps

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

\frac{( 2 ^{- 3} \cdot 4 ^{2} ) ^{- 1}}{2 ^{- 1}}

\frac{5 ^{6}}{5 ^{3}}

8^{2} + x^{2} = 9^{2}

x - 12 = 7

What are the solutions to the equation x^2-6x-15=0 ?
The solutions to the equation x^2-6x-15=0 are x=3+2sqrt(6),x=3-2sqrt(6)
Find the zeros of x^2-6x-15=0
The zeros of x^2-6x-15=0 are x=3+2sqrt(6),x=3-2sqrt(6)