What are the solutions to the equation 5x^2+70=50x ?

The solutions to the equation 5x^2+70=50x are x=5+sqrt(11),x=5-sqrt(11)

Find the zeros of 5x^2+70=50x

The zeros of 5x^2+70=50x are x=5+sqrt(11),x=5-sqrt(11)

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5 x^{2} + 70 = 50 x

x = 5 + 11, x = 5 - 11

Decimal Notation

x = 8.31662 \dots, x = 1.68337 \dots

Solution steps

5 x^{2} + 70 = 50 x

Move

50 x

to the left side

5 x^{2} + 70 - 50 x = 0

Write in the standard form

a x^{2} + b x + c = 0

5 x^{2} - 50 x + 70 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 70}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 \cdot 70 = 1011

x_{1, 2} = \frac{- ( - 50 ) \pm 10 11}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 10 11}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 10 11}{2 \cdot 5}

x = \frac{- ( - 50 ) + 10 11}{2 \cdot 5} : 5 + 11

x = \frac{- ( - 50 ) - 10 11}{2 \cdot 5} : 5 - 11

The solutions to the quadratic equation are:

x = 5 + 11, x = 5 - 11

3 h^{2} - 5 h + 2 = 0

(x - 1)^{2} = - 3

(x - 1)^{2} = 45

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

2 x^{2} + 5 x - 52 = 0

What are the solutions to the equation 5x^2+70=50x ?
The solutions to the equation 5x^2+70=50x are x=5+sqrt(11),x=5-sqrt(11)
Find the zeros of 5x^2+70=50x
The zeros of 5x^2+70=50x are x=5+sqrt(11),x=5-sqrt(11)