What are the solutions to the equation x^2-13x-318.75=0 ?

The solutions to the equation x^2-13x-318.75=0 are x= 51/2 ,x=-25/2

Find the zeros of x^2-13x-318.75=0

The zeros of x^2-13x-318.75=0 are x= 51/2 ,x=-25/2

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x^{2} - 13 x - 318.75 = 0

x = \frac{51}{2}, x = - \frac{25}{2}

Decimal Notation

x = 25.5, x = - 12.5

Solution steps

x^{2} - 13 x - 318.75 = 0

Multiply both sides by

100

100 x^{2} - 1300 x - 31875 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1300 ) \pm ( - 1300 ) ^{2} - 4 \cdot 100 ( - 31875 )}{2 \cdot 100}

(- 1300)^{2} - 4 \cdot 100 (- 31875) = 3800

x_{1, 2} = \frac{- ( - 1300 ) \pm 3800}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 1300 ) + 3800}{2 \cdot 100}, x_{2} = \frac{- ( - 1300 ) - 3800}{2 \cdot 100}

x = \frac{- ( - 1300 ) + 3800}{2 \cdot 100} : \frac{51}{2}

x = \frac{- ( - 1300 ) - 3800}{2 \cdot 100} : - \frac{25}{2}

The solutions to the quadratic equation are:

x = \frac{51}{2}, x = - \frac{25}{2}

3 k^{2} - 58 k + 240 = 0

x, \frac{( z - 4 ) ^{2}}{4} - \frac{y ^{2}}{3} - 3 x^{2} = 1

3 ab x^{2} - 5 a^{2} b x - 2 a b^{2} x = 4 ab x (x - b) - a^{2} b (x - b)

x^{2} - 3 x - 18

x^{2} - 3 x - 12

What are the solutions to the equation x^2-13x-318.75=0 ?
The solutions to the equation x^2-13x-318.75=0 are x= 51/2 ,x=-25/2
Find the zeros of x^2-13x-318.75=0
The zeros of x^2-13x-318.75=0 are x= 51/2 ,x=-25/2