What are the solutions to the equation x^2+14x-70=9 ?

The solutions to the equation x^2+14x-70=9 are x=-7+8sqrt(2),x=-7-8sqrt(2)

Find the zeros of x^2+14x-70=9

The zeros of x^2+14x-70=9 are x=-7+8sqrt(2),x=-7-8sqrt(2)

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x^{2} + 14 x - 70 = 9

x = - 7 + 82, x = - 7 - 82

Decimal Notation

x = 4.31370 \dots, x = - 18.31370 \dots

Solution steps

x^{2} + 14 x - 70 = 9

Move

9

to the left side

x^{2} + 14 x - 79 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot ( - 79 )}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot (- 79) = 162

x_{1, 2} = \frac{- 14 \pm 16 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 14 + 16 2}{2 \cdot 1}, x_{2} = \frac{- 14 - 16 2}{2 \cdot 1}

x = \frac{- 14 + 16 2}{2 \cdot 1} : - 7 + 82

x = \frac{- 14 - 16 2}{2 \cdot 1} : - 7 - 82

The solutions to the quadratic equation are:

x = - 7 + 82, x = - 7 - 82

- 9 x^{2} = - 864

\frac{x ^{2}}{9} + \frac{0 ^{2}}{16} = 1

2 x^{2} - 4 x - 15 = 0

x^{2} - \frac{4}{5} x - 4

a^{2} - a + 1 = 0

What are the solutions to the equation x^2+14x-70=9 ?
The solutions to the equation x^2+14x-70=9 are x=-7+8sqrt(2),x=-7-8sqrt(2)
Find the zeros of x^2+14x-70=9
The zeros of x^2+14x-70=9 are x=-7+8sqrt(2),x=-7-8sqrt(2)