What are the solutions to the equation x^2+9x=43.75 ?

The solutions to the equation x^2+9x=43.75 are x= 7/2 ,x=-25/2

Find the zeros of x^2+9x=43.75

The zeros of x^2+9x=43.75 are x= 7/2 ,x=-25/2

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x^{2} + 9 x = 43.75

x = \frac{7}{2}, x = - \frac{25}{2}

Decimal Notation

x = 3.5, x = - 12.5

Solution steps

x^{2} + 9 x = 43.75

Multiply both sides by

100

100 x^{2} + 900 x = 4375

Move

4375

to the left side

100 x^{2} + 900 x - 4375 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 900 \pm 90 0 ^{2} - 4 \cdot 100 ( - 4375 )}{2 \cdot 100}

90 0^{2} - 4 \cdot 100 (- 4375) = 1600

x_{1, 2} = \frac{- 900 \pm 1600}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 900 + 1600}{2 \cdot 100}, x_{2} = \frac{- 900 - 1600}{2 \cdot 100}

x = \frac{- 900 + 1600}{2 \cdot 100} : \frac{7}{2}

x = \frac{- 900 - 1600}{2 \cdot 100} : - \frac{25}{2}

The solutions to the quadratic equation are:

x = \frac{7}{2}, x = - \frac{25}{2}

3 x^{2} - 24 x + 40 = 28

s^{2} - s - 2 = 0

x^{2} + 7 x = 0

x^{2} + 12 = - 13

2 x^{2} + 16 = 11 x

What are the solutions to the equation x^2+9x=43.75 ?
The solutions to the equation x^2+9x=43.75 are x= 7/2 ,x=-25/2
Find the zeros of x^2+9x=43.75
The zeros of x^2+9x=43.75 are x= 7/2 ,x=-25/2