What are the solutions to the equation 9x^2+16=24x ?

The solutions to the equation 9x^2+16=24x are x= 4/3

Find the zeros of 9x^2+16=24x

The zeros of 9x^2+16=24x are x= 4/3

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9 x^{2} + 16 = 24 x

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

9 x^{2} + 16 = 24 x

Move

24 x

to the left side

9 x^{2} + 16 - 24 x = 0

Write in the standard form

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

9 x^{2} - 24 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 9 \cdot 16}{2 \cdot 9}

(- 24)^{2} - 4 \cdot 9 \cdot 16 = 0

x_{1, 2} = \frac{- ( - 24 ) \pm 0}{2 \cdot 9}

x = \frac{- ( - 24 )}{2 \cdot 9}

\frac{- ( - 24 )}{2 \cdot 9} = \frac{4}{3}

x = \frac{4}{3}

The solution to the quadratic equation is:

x = \frac{4}{3}

n^{2} - n - 5 = - 2 n^{2}

n^{2} - 5 n + 6 = 0

x^{2} - 64 x = - 1.24

5 x^{2} - 22 x + 11 = 3

3 x^{2} + 25 x - 18 = 0

What are the solutions to the equation 9x^2+16=24x ?
The solutions to the equation 9x^2+16=24x are x= 4/3
Find the zeros of 9x^2+16=24x
The zeros of 9x^2+16=24x are x= 4/3