What are the solutions to the equation x^2-8x-74=7 ?

The solutions to the equation x^2-8x-74=7 are x=4+sqrt(97),x=4-sqrt(97)

Find the zeros of x^2-8x-74=7

The zeros of x^2-8x-74=7 are x=4+sqrt(97),x=4-sqrt(97)

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x^{2} - 8 x - 74 = 7

x = 4 + 97, x = 4 - 97

Decimal Notation

x = 13.84885 \dots, x = - 5.84885 \dots

Solution steps

x^{2} - 8 x - 74 = 7

Move

7

to the left side

x^{2} - 8 x - 81 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot ( - 81 )}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot (- 81) = 297

x_{1, 2} = \frac{- ( - 8 ) \pm 2 97}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 97}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 97}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 97}{2 \cdot 1} : 4 + 97

x = \frac{- ( - 8 ) - 2 97}{2 \cdot 1} : 4 - 97

The solutions to the quadratic equation are:

x = 4 + 97, x = 4 - 97

4 b^{2} - 5 b - 6 = - 2

x + 3 = x^{2} + 2 x + 1

x^{2} - 6 x - 3 = 0

2 a^{2} + 2 = - 5 a

x, 600 - 5 - 7 = 3 x (x + 10)

What are the solutions to the equation x^2-8x-74=7 ?
The solutions to the equation x^2-8x-74=7 are x=4+sqrt(97),x=4-sqrt(97)
Find the zeros of x^2-8x-74=7
The zeros of x^2-8x-74=7 are x=4+sqrt(97),x=4-sqrt(97)