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Popular >

x^2-20x+51=0

Solution

x^{2} - 20 x + 51 = 0

Solution

x = 17, x = 3

Solution steps

x^{2} - 20 x + 51 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 51}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 51 = 14

x_{1, 2} = \frac{- ( - 20 ) \pm 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 14}{2 \cdot 1}, x_{2} = \frac{- ( - 20 ) - 14}{2 \cdot 1}

x = \frac{- ( - 20 ) + 14}{2 \cdot 1} : 17

x = \frac{- ( - 20 ) - 14}{2 \cdot 1} : 3

The solutions to the quadratic equation are:

x = 17, x = 3

Popular Examples

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Frequently Asked Questions (FAQ)

What are the solutions to the equation x^2-20x+51=0 ?
The solutions to the equation x^2-20x+51=0 are x=17,x=3
Find the zeros of x^2-20x+51=0
The zeros of x^2-20x+51=0 are x=17,x=3