What are the solutions to the equation 16x^2=34x-15 ?

The solutions to the equation 16x^2=34x-15 are x= 3/2 ,x= 5/8

Find the zeros of 16x^2=34x-15

The zeros of 16x^2=34x-15 are x= 3/2 ,x= 5/8

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16 x^{2} = 34 x - 15

x = \frac{3}{2}, x = \frac{5}{8}

Solution steps

16 x^{2} = 34 x - 15

Move

15

to the left side

16 x^{2} + 15 = 34 x

Move

34 x

to the left side

16 x^{2} + 15 - 34 x = 0

Write in the standard form

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

16 x^{2} - 34 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 34 ) \pm ( - 34 ) ^{2} - 4 \cdot 16 \cdot 15}{2 \cdot 16}

(- 34)^{2} - 4 \cdot 16 \cdot 15 = 14

x_{1, 2} = \frac{- ( - 34 ) \pm 14}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 34 ) + 14}{2 \cdot 16}, x_{2} = \frac{- ( - 34 ) - 14}{2 \cdot 16}

x = \frac{- ( - 34 ) + 14}{2 \cdot 16} : \frac{3}{2}

x = \frac{- ( - 34 ) - 14}{2 \cdot 16} : \frac{5}{8}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = \frac{5}{8}

576 x^{2} - 144 x + 25 = 0

50 x^{2} - 50 x + 13 = 0

72 = (8 x + 3) (8 x - 3)

36 x^{2} - \frac{49}{64} = 0

x^{2} + 8 x + 96 = 0

What are the solutions to the equation 16x^2=34x-15 ?
The solutions to the equation 16x^2=34x-15 are x= 3/2 ,x= 5/8
Find the zeros of 16x^2=34x-15
The zeros of 16x^2=34x-15 are x= 3/2 ,x= 5/8