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

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

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

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

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9 x^{2} = 30 x - 25

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

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}

1 2^{\frac{1}{3}} \cdot 4 5^{\frac{1}{3}} \cdot 5 0^{\frac{1}{3}}

x (2 x - 12) (6 x - 54) \geq 0

4 \leq x \frac{1}{2} \leq 9

2 x^{3} - 250

\frac{22}{3} + \frac{2}{3}

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