What are the solutions to the equation 5x^2-70x=-230 ?

The solutions to the equation 5x^2-70x=-230 are x=7+sqrt(3),x=7-sqrt(3)

Find the zeros of 5x^2-70x=-230

The zeros of 5x^2-70x=-230 are x=7+sqrt(3),x=7-sqrt(3)

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5 x^{2} - 70 x = - 230

x = 7 + 3, x = 7 - 3

Decimal Notation

x = 8.73205 \dots, x = 5.26794 \dots

Solution steps

5 x^{2} - 70 x = - 230

Move

230

to the left side

5 x^{2} - 70 x + 230 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 70 ) \pm ( - 70 ) ^{2} - 4 \cdot 5 \cdot 230}{2 \cdot 5}

(- 70)^{2} - 4 \cdot 5 \cdot 230 = 103

x_{1, 2} = \frac{- ( - 70 ) \pm 10 3}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 70 ) + 10 3}{2 \cdot 5}, x_{2} = \frac{- ( - 70 ) - 10 3}{2 \cdot 5}

x = \frac{- ( - 70 ) + 10 3}{2 \cdot 5} : 7 + 3

x = \frac{- ( - 70 ) - 10 3}{2 \cdot 5} : 7 - 3

The solutions to the quadratic equation are:

x = 7 + 3, x = 7 - 3

45 x - 0.9 x^{2} = \frac{( 562.5 )}{2}

\frac{( 1 \cdot 1 0 ^{0} )}{2 \cdot 1 0 ^{1}}

x^{2} - 2 x + \frac{1}{4} = 0

1 0^{4 l o g_{10} (5)}

\frac{x}{x + 1} < \frac{x}{x - 1}

What are the solutions to the equation 5x^2-70x=-230 ?
The solutions to the equation 5x^2-70x=-230 are x=7+sqrt(3),x=7-sqrt(3)
Find the zeros of 5x^2-70x=-230
The zeros of 5x^2-70x=-230 are x=7+sqrt(3),x=7-sqrt(3)