What are the solutions to the equation x^2-15x+56.25=8 ?

The solutions to the equation x^2-15x+56.25=8 are x=(15+4sqrt(2))/2 ,x=(15-4sqrt(2))/2

Find the zeros of x^2-15x+56.25=8

The zeros of x^2-15x+56.25=8 are x=(15+4sqrt(2))/2 ,x=(15-4sqrt(2))/2

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x^{2} - 15 x + 56.25 = 8

x = \frac{15 + 4 2}{2}, x = \frac{15 - 4 2}{2}

Decimal Notation

x = 10.32842 \dots, x = 4.67157 \dots

Solution steps

x^{2} - 15 x + 56.25 = 8

Multiply both sides by

100

100 x^{2} - 1500 x + 5625 = 800

Move

800

to the left side

100 x^{2} - 1500 x + 4825 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1500 ) \pm ( - 1500 ) ^{2} - 4 \cdot 100 \cdot 4825}{2 \cdot 100}

(- 1500)^{2} - 4 \cdot 100 \cdot 4825 = 4002

x_{1, 2} = \frac{- ( - 1500 ) \pm 400 2}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 1500 ) + 400 2}{2 \cdot 100}, x_{2} = \frac{- ( - 1500 ) - 400 2}{2 \cdot 100}

x = \frac{- ( - 1500 ) + 400 2}{2 \cdot 100} : \frac{15 + 4 2}{2}

x = \frac{- ( - 1500 ) - 400 2}{2 \cdot 100} : \frac{15 - 4 2}{2}

The solutions to the quadratic equation are:

x = \frac{15 + 4 2}{2}, x = \frac{15 - 4 2}{2}

x^{2} + \frac{x}{3} = \frac{2}{3}

72 - 6 x^{2} = 0

- 34 = x^{2} - 14 x + 10

16 x^{2} = 24 x - 11

- x^{2} + 600 x - 90 = 0

What are the solutions to the equation x^2-15x+56.25=8 ?
The solutions to the equation x^2-15x+56.25=8 are x=(15+4sqrt(2))/2 ,x=(15-4sqrt(2))/2
Find the zeros of x^2-15x+56.25=8
The zeros of x^2-15x+56.25=8 are x=(15+4sqrt(2))/2 ,x=(15-4sqrt(2))/2