What are the solutions to the equation 0=-x^2+12x-15 ?

The solutions to the equation 0=-x^2+12x-15 are x=6-sqrt(21),x=6+sqrt(21)

Find the zeros of 0=-x^2+12x-15

The zeros of 0=-x^2+12x-15 are x=6-sqrt(21),x=6+sqrt(21)

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0 = - x^{2} + 12 x - 15

x = 6 - 21, x = 6 + 21

Decimal Notation

x = 1.41742 \dots, x = 10.58257 \dots

Solution steps

0 = - x^{2} + 12 x - 15

Switch sides

- x^{2} + 12 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 1 ) ( - 15 )}{2 ( - 1 )}

1 2^{2} - 4 (- 1) (- 15) = 221

x_{1, 2} = \frac{- 12 \pm 2 21}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 12 + 2 21}{2 ( - 1 )}, x_{2} = \frac{- 12 - 2 21}{2 ( - 1 )}

x = \frac{- 12 + 2 21}{2 ( - 1 )} : 6 - 21

x = \frac{- 12 - 2 21}{2 ( - 1 )} : 6 + 21

The solutions to the quadratic equation are:

x = 6 - 21, x = 6 + 21

x^{2 - x - 6}

1 + 27 y^{3}

\frac{1}{2} + \frac{π}{2}

\frac{\frac{3}{3}}{\frac{5 π}{6}}

- 10 x y^{5} z^{4} + 33 y z^{3}

What are the solutions to the equation 0=-x^2+12x-15 ?
The solutions to the equation 0=-x^2+12x-15 are x=6-sqrt(21),x=6+sqrt(21)
Find the zeros of 0=-x^2+12x-15
The zeros of 0=-x^2+12x-15 are x=6-sqrt(21),x=6+sqrt(21)