What are the solutions to the equation 5x^2+30x=125 ?

The solutions to the equation 5x^2+30x=125 are x=-3+sqrt(34),x=-3-sqrt(34)

Find the zeros of 5x^2+30x=125

The zeros of 5x^2+30x=125 are x=-3+sqrt(34),x=-3-sqrt(34)

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5 x^{2} + 30 x = 125

x = - 3 + 34, x = - 3 - 34

Decimal Notation

x = 2.83095 \dots, x = - 8.83095 \dots

Solution steps

5 x^{2} + 30 x = 125

Move

125

to the left side

5 x^{2} + 30 x - 125 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 5 ( - 125 )}{2 \cdot 5}

3 0^{2} - 4 \cdot 5 (- 125) = 1034

x_{1, 2} = \frac{- 30 \pm 10 34}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 30 + 10 34}{2 \cdot 5}, x_{2} = \frac{- 30 - 10 34}{2 \cdot 5}

x = \frac{- 30 + 10 34}{2 \cdot 5} : - 3 + 34

x = \frac{- 30 - 10 34}{2 \cdot 5} : - 3 - 34

The solutions to the quadratic equation are:

x = - 3 + 34, x = - 3 - 34

\frac{k}{2} - 4 = 18

3 y + 6 (3) = 27

\frac{1}{2 ^{4}}

\frac{8 ^{4}}{8 ^{- 2}}

(x - 8)^{2} = 0

What are the solutions to the equation 5x^2+30x=125 ?
The solutions to the equation 5x^2+30x=125 are x=-3+sqrt(34),x=-3-sqrt(34)
Find the zeros of 5x^2+30x=125
The zeros of 5x^2+30x=125 are x=-3+sqrt(34),x=-3-sqrt(34)