What are the solutions to the equation 9x^2-30x-25=0 ?

The solutions to the equation 9x^2-30x-25=0 are x=(5(1+sqrt(2)))/3 ,x=(5(1-sqrt(2)))/3

Find the zeros of 9x^2-30x-25=0

The zeros of 9x^2-30x-25=0 are x=(5(1+sqrt(2)))/3 ,x=(5(1-sqrt(2)))/3

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9 x^{2} - 30 x - 25 = 0

x = \frac{5 ( 1 + 2 )}{3}, x = \frac{5 ( 1 - 2 )}{3}

Decimal Notation

x = 4.02368 \dots, x = - 0.69035 \dots

Solution steps

9 x^{2} - 30 x - 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 9 ( - 25 )}{2 \cdot 9}

(- 30)^{2} - 4 \cdot 9 (- 25) = 302

x_{1, 2} = \frac{- ( - 30 ) \pm 30 2}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 30 2}{2 \cdot 9}, x_{2} = \frac{- ( - 30 ) - 30 2}{2 \cdot 9}

x = \frac{- ( - 30 ) + 30 2}{2 \cdot 9} : \frac{5 ( 1 + 2 )}{3}

x = \frac{- ( - 30 ) - 30 2}{2 \cdot 9} : \frac{5 ( 1 - 2 )}{3}

The solutions to the quadratic equation are:

x = \frac{5 ( 1 + 2 )}{3}, x = \frac{5 ( 1 - 2 )}{3}

9 x^{2} - 8 x = 0

4 x^{2} + 8 x + 80 = 0

(2 D - 1)^{2} = 0

14 = x^{2} + 5 x

(x + 9)^{2} = x^{2} + (x + 1)^{2}

What are the solutions to the equation 9x^2-30x-25=0 ?
The solutions to the equation 9x^2-30x-25=0 are x=(5(1+sqrt(2)))/3 ,x=(5(1-sqrt(2)))/3
Find the zeros of 9x^2-30x-25=0
The zeros of 9x^2-30x-25=0 are x=(5(1+sqrt(2)))/3 ,x=(5(1-sqrt(2)))/3