What are the solutions to the equation x^2-19x=9.75 ?

The solutions to the equation x^2-19x=9.75 are x= 39/2 ,x=-1/2

Find the zeros of x^2-19x=9.75

The zeros of x^2-19x=9.75 are x= 39/2 ,x=-1/2

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x^{2} - 19 x = 9.75

x = \frac{39}{2}, x = - \frac{1}{2}

Decimal Notation

x = 19.5, x = - 0.5

Solution steps

x^{2} - 19 x = 9.75

Multiply both sides by

100

100 x^{2} - 1900 x = 975

Move

975

to the left side

100 x^{2} - 1900 x - 975 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1900 ) \pm ( - 1900 ) ^{2} - 4 \cdot 100 ( - 975 )}{2 \cdot 100}

(- 1900)^{2} - 4 \cdot 100 (- 975) = 2000

x_{1, 2} = \frac{- ( - 1900 ) \pm 2000}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 1900 ) + 2000}{2 \cdot 100}, x_{2} = \frac{- ( - 1900 ) - 2000}{2 \cdot 100}

x = \frac{- ( - 1900 ) + 2000}{2 \cdot 100} : \frac{39}{2}

x = \frac{- ( - 1900 ) - 2000}{2 \cdot 100} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = \frac{39}{2}, x = - \frac{1}{2}

3 x^{2} - 13 x + 10 = 0

x^{2} - 19 x + 48 = 0

r, A = 2 π r (r + h)

3 w^{2} + 15 w + 12 = w

3 y^{2} + 6 y - 9 = 0

What are the solutions to the equation x^2-19x=9.75 ?
The solutions to the equation x^2-19x=9.75 are x= 39/2 ,x=-1/2
Find the zeros of x^2-19x=9.75
The zeros of x^2-19x=9.75 are x= 39/2 ,x=-1/2