What are the solutions to the equation x^2-7x-34=0 ?

The solutions to the equation x^2-7x-34=0 are x=(7+sqrt(185))/2 ,x=(7-sqrt(185))/2

Find the zeros of x^2-7x-34=0

The zeros of x^2-7x-34=0 are x=(7+sqrt(185))/2 ,x=(7-sqrt(185))/2

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x^{2} - 7 x - 34 = 0

x = \frac{7 + 185}{2}, x = \frac{7 - 185}{2}

Decimal Notation

x = 10.30073 \dots, x = - 3.30073 \dots

Solution steps

x^{2} - 7 x - 34 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 34 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 34) = 185

x_{1, 2} = \frac{- ( - 7 ) \pm 185}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 185}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 185}{2 \cdot 1}

x = \frac{- ( - 7 ) + 185}{2 \cdot 1} : \frac{7 + 185}{2}

x = \frac{- ( - 7 ) - 185}{2 \cdot 1} : \frac{7 - 185}{2}

The solutions to the quadratic equation are:

x = \frac{7 + 185}{2}, x = \frac{7 - 185}{2}

x^{2} + 289 = 0

9 x^{2} + 7 x - 56 = 0

5 n^{2} + 19 n + 12 = 0

19 x^{2} = 0

s^{2} - s + 1 = 0

What are the solutions to the equation x^2-7x-34=0 ?
The solutions to the equation x^2-7x-34=0 are x=(7+sqrt(185))/2 ,x=(7-sqrt(185))/2
Find the zeros of x^2-7x-34=0
The zeros of x^2-7x-34=0 are x=(7+sqrt(185))/2 ,x=(7-sqrt(185))/2