What are the solutions to the equation x^2-9.6x=1.96 ?

The solutions to the equation x^2-9.6x=1.96 are x= 49/5 ,x=-1/5

Find the zeros of x^2-9.6x=1.96

The zeros of x^2-9.6x=1.96 are x= 49/5 ,x=-1/5

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x^{2} - 9.6 x = 1.96

x = \frac{49}{5}, x = - \frac{1}{5}

Decimal Notation

x = 9.8, x = - 0.2

Solution steps

x^{2} - 9.6 x = 1.96

Multiply both sides by

100

100 x^{2} - 960 x = 196

Move

196

to the left side

100 x^{2} - 960 x - 196 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 960 ) \pm ( - 960 ) ^{2} - 4 \cdot 100 ( - 196 )}{2 \cdot 100}

(- 960)^{2} - 4 \cdot 100 (- 196) = 1000

x_{1, 2} = \frac{- ( - 960 ) \pm 1000}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 960 ) + 1000}{2 \cdot 100}, x_{2} = \frac{- ( - 960 ) - 1000}{2 \cdot 100}

x = \frac{- ( - 960 ) + 1000}{2 \cdot 100} : \frac{49}{5}

x = \frac{- ( - 960 ) - 1000}{2 \cdot 100} : - \frac{1}{5}

The solutions to the quadratic equation are:

x = \frac{49}{5}, x = - \frac{1}{5}

0 = - x^{2} - 2 x + 8

x^{2} - 4 = - x + 2

x^{2} - 9 x + 81 = 0

(- \frac{7}{3})^{2} + y^{2} = 4

x^{2} - 13 x + 48 = 0

What are the solutions to the equation x^2-9.6x=1.96 ?
The solutions to the equation x^2-9.6x=1.96 are x= 49/5 ,x=-1/5
Find the zeros of x^2-9.6x=1.96
The zeros of x^2-9.6x=1.96 are x= 49/5 ,x=-1/5