What are the solutions to the equation 36x^2+174x-30=0 ?

The solutions to the equation 36x^2+174x-30=0 are x= 1/6 ,x=-5

Find the zeros of 36x^2+174x-30=0

The zeros of 36x^2+174x-30=0 are x= 1/6 ,x=-5

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36 x^{2} + 174 x - 30 = 0

x = \frac{1}{6}, x = - 5

Decimal Notation

x = 0.16666 \dots, x = - 5

Solution steps

36 x^{2} + 174 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 174 \pm 17 4 ^{2} - 4 \cdot 36 ( - 30 )}{2 \cdot 36}

17 4^{2} - 4 \cdot 36 (- 30) = 186

x_{1, 2} = \frac{- 174 \pm 186}{2 \cdot 36}

Separate the solutions

x_{1} = \frac{- 174 + 186}{2 \cdot 36}, x_{2} = \frac{- 174 - 186}{2 \cdot 36}

x = \frac{- 174 + 186}{2 \cdot 36} : \frac{1}{6}

x = \frac{- 174 - 186}{2 \cdot 36} : - 5

The solutions to the quadratic equation are:

x = \frac{1}{6}, x = - 5

5 x^{2} - 17 x + 14 = 0

y^{2} - 2 y - 6 = 0

- 2 x^{2} + 16 x - 31 = 0

\frac{x ^{2} + 5 x}{2} = 102

(x + 2)^{2} = 144

What are the solutions to the equation 36x^2+174x-30=0 ?
The solutions to the equation 36x^2+174x-30=0 are x= 1/6 ,x=-5
Find the zeros of 36x^2+174x-30=0
The zeros of 36x^2+174x-30=0 are x= 1/6 ,x=-5