What are the solutions to the equation 5x^2-50x=-60 ?

The solutions to the equation 5x^2-50x=-60 are x=5+sqrt(13),x=5-sqrt(13)

Find the zeros of 5x^2-50x=-60

The zeros of 5x^2-50x=-60 are x=5+sqrt(13),x=5-sqrt(13)

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5 x^{2} - 50 x = - 60

x = 5 + 13, x = 5 - 13

Decimal Notation

x = 8.60555 \dots, x = 1.39444 \dots

Solution steps

5 x^{2} - 50 x = - 60

Move

60

to the left side

5 x^{2} - 50 x + 60 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 60}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 \cdot 60 = 1013

x_{1, 2} = \frac{- ( - 50 ) \pm 10 13}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 13}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 10 13}{2 \cdot 5}

x = \frac{- ( - 50 ) + 10 13}{2 \cdot 5} : 5 + 13

x = \frac{- ( - 50 ) - 10 13}{2 \cdot 5} : 5 - 13

The solutions to the quadratic equation are:

x = 5 + 13, x = 5 - 13

4 = 3 y^{2} + 11 y

6 c^{2} + 9 = 5 c

8 x^{2} + 6 x = 8

2 x^{2} - 1 = x^{2} + 8

- x^{2} + 6 x + 12 = 0

What are the solutions to the equation 5x^2-50x=-60 ?
The solutions to the equation 5x^2-50x=-60 are x=5+sqrt(13),x=5-sqrt(13)
Find the zeros of 5x^2-50x=-60
The zeros of 5x^2-50x=-60 are x=5+sqrt(13),x=5-sqrt(13)