What are the solutions to the equation 7x^2-8x-11=0 ?

The solutions to the equation 7x^2-8x-11=0 are x=(4+sqrt(93))/7 ,x=(4-sqrt(93))/7

Find the zeros of 7x^2-8x-11=0

The zeros of 7x^2-8x-11=0 are x=(4+sqrt(93))/7 ,x=(4-sqrt(93))/7

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7 x^{2} - 8 x - 11 = 0

x = \frac{4 + 93}{7}, x = \frac{4 - 93}{7}

Decimal Notation

x = 1.94909 \dots, x = - 0.80623 \dots

Solution steps

7 x^{2} - 8 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 7 ( - 11 )}{2 \cdot 7}

(- 8)^{2} - 4 \cdot 7 (- 11) = 293

x_{1, 2} = \frac{- ( - 8 ) \pm 2 93}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 93}{2 \cdot 7}, x_{2} = \frac{- ( - 8 ) - 2 93}{2 \cdot 7}

x = \frac{- ( - 8 ) + 2 93}{2 \cdot 7} : \frac{4 + 93}{7}

x = \frac{- ( - 8 ) - 2 93}{2 \cdot 7} : \frac{4 - 93}{7}

The solutions to the quadratic equation are:

x = \frac{4 + 93}{7}, x = \frac{4 - 93}{7}

6 (2 x - 3)^{2} - 24 = 0

4 (x - 5)^{2} = 20

2 x^{2} - (x + 2) (x - 3) = 12

x^{2} + 8 x = 6 x + 3

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

What are the solutions to the equation 7x^2-8x-11=0 ?
The solutions to the equation 7x^2-8x-11=0 are x=(4+sqrt(93))/7 ,x=(4-sqrt(93))/7
Find the zeros of 7x^2-8x-11=0
The zeros of 7x^2-8x-11=0 are x=(4+sqrt(93))/7 ,x=(4-sqrt(93))/7