What are the solutions to the equation x^2-7x=12.75 ?

The solutions to the equation x^2-7x=12.75 are x= 17/2 ,x=-3/2

Find the zeros of x^2-7x=12.75

The zeros of x^2-7x=12.75 are x= 17/2 ,x=-3/2

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x^{2} - 7 x = 12.75

x = \frac{17}{2}, x = - \frac{3}{2}

Decimal Notation

x = 8.5, x = - 1.5

Solution steps

x^{2} - 7 x = 12.75

Multiply both sides by

100

100 x^{2} - 700 x = 1275

Move

1275

to the left side

100 x^{2} - 700 x - 1275 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 700 ) \pm ( - 700 ) ^{2} - 4 \cdot 100 ( - 1275 )}{2 \cdot 100}

(- 700)^{2} - 4 \cdot 100 (- 1275) = 1000

x_{1, 2} = \frac{- ( - 700 ) \pm 1000}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 700 ) + 1000}{2 \cdot 100}, x_{2} = \frac{- ( - 700 ) - 1000}{2 \cdot 100}

x = \frac{- ( - 700 ) + 1000}{2 \cdot 100} : \frac{17}{2}

x = \frac{- ( - 700 ) - 1000}{2 \cdot 100} : - \frac{3}{2}

The solutions to the quadratic equation are:

x = \frac{17}{2}, x = - \frac{3}{2}

q^{2} + 6 q - 18 = - 5

3 x^{2} + 18 x + 23 = 0

y, y^{2} = x^{4} - x^{6}

1 7^{2} = x^{2} + 8^{2}

y^{2} + 4 y

What are the solutions to the equation x^2-7x=12.75 ?
The solutions to the equation x^2-7x=12.75 are x= 17/2 ,x=-3/2
Find the zeros of x^2-7x=12.75
The zeros of x^2-7x=12.75 are x= 17/2 ,x=-3/2