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

The solutions to the equation 5x^2-50x+60=-5 are x=5+2sqrt(3),x=5-2sqrt(3)

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

The zeros of 5x^2-50x+60=-5 are x=5+2sqrt(3),x=5-2sqrt(3)

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

x = 5 + 23, x = 5 - 23

Decimal Notation

x = 8.46410 \dots, x = 1.53589 \dots

Solution steps

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

Move

5

to the left side

5 x^{2} - 50 x + 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 5 \cdot 65}{2 \cdot 5}

(- 50)^{2} - 4 \cdot 5 \cdot 65 = 203

x_{1, 2} = \frac{- ( - 50 ) \pm 20 3}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 20 3}{2 \cdot 5}, x_{2} = \frac{- ( - 50 ) - 20 3}{2 \cdot 5}

x = \frac{- ( - 50 ) + 20 3}{2 \cdot 5} : 5 + 23

x = \frac{- ( - 50 ) - 20 3}{2 \cdot 5} : 5 - 23

The solutions to the quadratic equation are:

x = 5 + 23, x = 5 - 23

- 15 x^{2} + 17 x - 6 = 0

3 x^{2} - 21 x - 54 = 0

(x + 3)^{2} = 14

- 9 x^{2} - 4 x - 2 = 0

x^{2} + (\frac{15}{17})^{2} = 1

What are the solutions to the equation 5x^2-50x+60=-5 ?
The solutions to the equation 5x^2-50x+60=-5 are x=5+2sqrt(3),x=5-2sqrt(3)
Find the zeros of 5x^2-50x+60=-5
The zeros of 5x^2-50x+60=-5 are x=5+2sqrt(3),x=5-2sqrt(3)