What are the solutions to the equation x^2+16/25 = 8/5 x ?

The solutions to the equation x^2+16/25 = 8/5 x are x= 4/5

Find the zeros of x^2+16/25 = 8/5 x

The zeros of x^2+16/25 = 8/5 x are x= 4/5

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x^{2} + \frac{16}{25} = \frac{8}{5} x

x = \frac{4}{5}

Decimal Notation

x = 0.8

Solution steps

x^{2} + \frac{16}{25} = \frac{8}{5} x

Find Least Common Multiplier of

25, 5 : 25

Multiply by LCM=

25

x^{2} \cdot 25 + \frac{16}{25} \cdot 25 = \frac{8}{5} x \cdot 25

Simplify

25 x^{2} + 16 = 40 x

Move

40 x

to the left side

25 x^{2} + 16 - 40 x = 0

Write in the standard form

a x^{2} + b x + c = 0

25 x^{2} - 40 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 \cdot 25 \cdot 16}{2 \cdot 25}

(- 40)^{2} - 4 \cdot 25 \cdot 16 = 0

x_{1, 2} = \frac{- ( - 40 ) \pm 0}{2 \cdot 25}

x = \frac{- ( - 40 )}{2 \cdot 25}

\frac{- ( - 40 )}{2 \cdot 25} = \frac{4}{5}

x = \frac{4}{5}

The solution to the quadratic equation is:

x = \frac{4}{5}

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

x^{2} - 8 x + 11 = 0

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

x^{2} - 20 x + 65 = 14

12 x^{2} - 6 = 0

What are the solutions to the equation x^2+16/25 = 8/5 x ?
The solutions to the equation x^2+16/25 = 8/5 x are x= 4/5
Find the zeros of x^2+16/25 = 8/5 x
The zeros of x^2+16/25 = 8/5 x are x= 4/5