What are the solutions to the equation 175-50x+x^2=0 ?

The solutions to the equation 175-50x+x^2=0 are x=5(5+3sqrt(2)),x=5(5-3sqrt(2))

Find the zeros of 175-50x+x^2=0

The zeros of 175-50x+x^2=0 are x=5(5+3sqrt(2)),x=5(5-3sqrt(2))

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175 - 50 x + x^{2} = 0

x = 5 (5 + 32), x = 5 (5 - 32)

Decimal Notation

x = 46.21320 \dots, x = 3.78679 \dots

Solution steps

175 - 50 x + x^{2} = 0

Write in the standard form

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

x^{2} - 50 x + 175 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 \cdot 1 \cdot 175}{2 \cdot 1}

(- 50)^{2} - 4 \cdot 1 \cdot 175 = 302

x_{1, 2} = \frac{- ( - 50 ) \pm 30 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 50 ) + 30 2}{2 \cdot 1}, x_{2} = \frac{- ( - 50 ) - 30 2}{2 \cdot 1}

x = \frac{- ( - 50 ) + 30 2}{2 \cdot 1} : 5 (5 + 32)

x = \frac{- ( - 50 ) - 30 2}{2 \cdot 1} : 5 (5 - 32)

The solutions to the quadratic equation are:

x = 5 (5 + 32), x = 5 (5 - 32)

(3 x - 2)^{2} + 16 = 0

4 (x - 100)^{2} = 16

n (n + 1) + 3 = 45

6 x^{2} + 3 = - 2 x

8 x^{2} - 4 x + 6 = 0

What are the solutions to the equation 175-50x+x^2=0 ?
The solutions to the equation 175-50x+x^2=0 are x=5(5+3sqrt(2)),x=5(5-3sqrt(2))
Find the zeros of 175-50x+x^2=0
The zeros of 175-50x+x^2=0 are x=5(5+3sqrt(2)),x=5(5-3sqrt(2))