What are the solutions to the equation x^2+9/25 = 6/5 x ?

The solutions to the equation x^2+9/25 = 6/5 x are x= 3/5

Find the zeros of x^2+9/25 = 6/5 x

The zeros of x^2+9/25 = 6/5 x are x= 3/5

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x^{2} + \frac{9}{25} = \frac{6}{5} x

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

x^{2} + \frac{9}{25} = \frac{6}{5} x

Find Least Common Multiplier of

25, 5 : 25

Multiply by LCM=

25

x^{2} \cdot 25 + \frac{9}{25} \cdot 25 = \frac{6}{5} x \cdot 25

Simplify

25 x^{2} + 9 = 30 x

Move

30 x

to the left side

25 x^{2} + 9 - 30 x = 0

Write in the standard form

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

25 x^{2} - 30 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 25 \cdot 9}{2 \cdot 25}

(- 30)^{2} - 4 \cdot 25 \cdot 9 = 0

x_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 25}

x = \frac{- ( - 30 )}{2 \cdot 25}

\frac{- ( - 30 )}{2 \cdot 25} = \frac{3}{5}

x = \frac{3}{5}

The solution to the quadratic equation is:

x = \frac{3}{5}

6 x^{2} + 72 = 0

x^{2} - 5 x = - 10

- 5 x^{2} + x + 6 = x^{2} - 3 x

6 x^{2} + 72 x - 170 = - 2

x^{2} - 32 x + 192 = 0

What are the solutions to the equation x^2+9/25 = 6/5 x ?
The solutions to the equation x^2+9/25 = 6/5 x are x= 3/5
Find the zeros of x^2+9/25 = 6/5 x
The zeros of x^2+9/25 = 6/5 x are x= 3/5