What are the solutions to the equation x^2+7x=68.75 ?

The solutions to the equation x^2+7x=68.75 are x= 11/2 ,x=-25/2

Find the zeros of x^2+7x=68.75

The zeros of x^2+7x=68.75 are x= 11/2 ,x=-25/2

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x^{2} + 7 x = 68.75

x = \frac{11}{2}, x = - \frac{25}{2}

Decimal Notation

x = 5.5, x = - 12.5

Solution steps

x^{2} + 7 x = 68.75

Multiply both sides by

100

100 x^{2} + 700 x = 6875

Move

6875

to the left side

100 x^{2} + 700 x - 6875 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 700 \pm 70 0 ^{2} - 4 \cdot 100 ( - 6875 )}{2 \cdot 100}

70 0^{2} - 4 \cdot 100 (- 6875) = 1800

x_{1, 2} = \frac{- 700 \pm 1800}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 700 + 1800}{2 \cdot 100}, x_{2} = \frac{- 700 - 1800}{2 \cdot 100}

x = \frac{- 700 + 1800}{2 \cdot 100} : \frac{11}{2}

x = \frac{- 700 - 1800}{2 \cdot 100} : - \frac{25}{2}

The solutions to the quadratic equation are:

x = \frac{11}{2}, x = - \frac{25}{2}

2 x^{2} + 16 x - 5

x^{2} - 6 x + 20 = 0

a^{2} + 8 a - 20 = 0

2 x^{2} + 3 x - 2

x^{2} + 6 = 7 x

What are the solutions to the equation x^2+7x=68.75 ?
The solutions to the equation x^2+7x=68.75 are x= 11/2 ,x=-25/2
Find the zeros of x^2+7x=68.75
The zeros of x^2+7x=68.75 are x= 11/2 ,x=-25/2