What are the solutions to the equation 5x^2-10x-11=9 ?

The solutions to the equation 5x^2-10x-11=9 are x=1+sqrt(5),x=1-sqrt(5)

Find the zeros of 5x^2-10x-11=9

The zeros of 5x^2-10x-11=9 are x=1+sqrt(5),x=1-sqrt(5)

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5 x^{2} - 10 x - 11 = 9

x = 1 + 5, x = 1 - 5

Decimal Notation

x = 3.23606 \dots, x = - 1.23606 \dots

Solution steps

5 x^{2} - 10 x - 11 = 9

Move

9

to the left side

5 x^{2} - 10 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 20 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 20) = 105

x_{1, 2} = \frac{- ( - 10 ) \pm 10 5}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 10 5}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 10 5}{2 \cdot 5}

x = \frac{- ( - 10 ) + 10 5}{2 \cdot 5} : 1 + 5

x = \frac{- ( - 10 ) - 10 5}{2 \cdot 5} : 1 - 5

The solutions to the quadratic equation are:

x = 1 + 5, x = 1 - 5

\frac{\frac{3 π}{4}}{4}

\frac{1}{6} d + \frac{2}{3} = \frac{1}{4} (d - 2)

X^{2} - 4 X = 0

\frac{2 x + 8}{x ^{2} + 8 x + 7} > 0

What are the solutions to the equation 5x^2-10x-11=9 ?
The solutions to the equation 5x^2-10x-11=9 are x=1+sqrt(5),x=1-sqrt(5)
Find the zeros of 5x^2-10x-11=9
The zeros of 5x^2-10x-11=9 are x=1+sqrt(5),x=1-sqrt(5)