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

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

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

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

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30 x - 25 = 9 x^{2}

x = \frac{5}{3}

Decimal

x = 1.66666 \dots

Solution steps

30 x - 25 = 9 x^{2}

Switch sides

9 x^{2} = 30 x - 25

Move

25

to the left side

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}

3 x^{2} + 7 x - 18 = 0

168.75 x^{2} + 8390 x - 2789675 = 0

64 x^{2} + 1 = 0

b^{2} - 4 b + 4 = 16

r^{2} + 6 r + \frac{279}{4} = 0

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