What are the solutions to the equation y^2-7.8y=-12.65 ?

The solutions to the equation y^2-7.8y=-12.65 are y= 11/2 ,y= 23/10

Find the zeros of y^2-7.8y=-12.65

The zeros of y^2-7.8y=-12.65 are y= 11/2 ,y= 23/10

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y^{2} - 7.8 y = - 12.65

y = \frac{11}{2}, y = \frac{23}{10}

Solution steps

y^{2} - 7.8 y = - 12.65

Multiply both sides by

100

100 y^{2} - 780 y = - 1265

Move

1265

to the left side

100 y^{2} - 780 y + 1265 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 780 ) \pm ( - 780 ) ^{2} - 4 \cdot 100 \cdot 1265}{2 \cdot 100}

(- 780)^{2} - 4 \cdot 100 \cdot 1265 = 320

y_{1, 2} = \frac{- ( - 780 ) \pm 320}{2 \cdot 100}

Separate the solutions

y_{1} = \frac{- ( - 780 ) + 320}{2 \cdot 100}, y_{2} = \frac{- ( - 780 ) - 320}{2 \cdot 100}

y = \frac{- ( - 780 ) + 320}{2 \cdot 100} : \frac{11}{2}

y = \frac{- ( - 780 ) - 320}{2 \cdot 100} : \frac{23}{10}

The solutions to the quadratic equation are:

y = \frac{11}{2}, y = \frac{23}{10}

x^{2} - 4 x - 10

C = (2 x - 3) (2 x - 2) - 2 x (x - 5)

25 x^{2} + 64 = 0

3 x (x - 1) = 5 - 3 x

a, f (a + 1) = 2 (a + 1)^{2} - 3

What are the solutions to the equation y^2-7.8y=-12.65 ?
The solutions to the equation y^2-7.8y=-12.65 are y= 11/2 ,y= 23/10
Find the zeros of y^2-7.8y=-12.65
The zeros of y^2-7.8y=-12.65 are y= 11/2 ,y= 23/10