What are the solutions to the equation 5x^2-90x=-370 ?

The solutions to the equation 5x^2-90x=-370 are x=9+sqrt(7),x=9-sqrt(7)

Find the zeros of 5x^2-90x=-370

The zeros of 5x^2-90x=-370 are x=9+sqrt(7),x=9-sqrt(7)

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5 x^{2} - 90 x = - 370

x = 9 + 7, x = 9 - 7

Solution steps

5 x^{2} - 90 x = - 370

Move

370

to the left side

5 x^{2} - 90 x + 370 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 90 ) \pm ( - 90 ) ^{2} - 4 \cdot 5 \cdot 370}{2 \cdot 5}

(- 90)^{2} - 4 \cdot 5 \cdot 370 = 107

x_{1, 2} = \frac{- ( - 90 ) \pm 10 7}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 90 ) + 10 7}{2 \cdot 5}, x_{2} = \frac{- ( - 90 ) - 10 7}{2 \cdot 5}

x = \frac{- ( - 90 ) + 10 7}{2 \cdot 5} : 9 + 7

x = \frac{- ( - 90 ) - 10 7}{2 \cdot 5} : 9 - 7

The solutions to the quadratic equation are:

x = 9 + 7, x = 9 - 7

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

(x + 1)^{2} = - 4

(x + 1)^{2} = 30

q, f D - 7 = q^{2}

x^{2} - 3 x + 2

What are the solutions to the equation 5x^2-90x=-370 ?
The solutions to the equation 5x^2-90x=-370 are x=9+sqrt(7),x=9-sqrt(7)
Find the zeros of 5x^2-90x=-370
The zeros of 5x^2-90x=-370 are x=9+sqrt(7),x=9-sqrt(7)