What are the solutions to the equation 30x=9x^2+25 ?

The solutions to the equation 30x=9x^2+25 are x= 5/3

Find the zeros of 30x=9x^2+25

The zeros of 30x=9x^2+25 are x= 5/3

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30 x = 9 x^{2} + 25

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

30 x = 9 x^{2} + 25

Switch sides

9 x^{2} + 25 = 30 x

Move

30 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 9}

x = \frac{- ( - 30 )}{2 \cdot 9}

\frac{- ( - 30 )}{2 \cdot 9} = \frac{5}{3}

x = \frac{5}{3}

The solution to the quadratic equation is:

x = \frac{5}{3}

12 - r - r^{2} = 0

5 = 1.691953 + 3.899406 (x) - 1.75381 (x^{2})

2 x^{2} - 3 x - 54 = 0

(b - 2)^{2} + (x - 2)^{2} = 4

\frac{1}{5} x (x + 4) = 0.75

What are the solutions to the equation 30x=9x^2+25 ?
The solutions to the equation 30x=9x^2+25 are x= 5/3
Find the zeros of 30x=9x^2+25
The zeros of 30x=9x^2+25 are x= 5/3