What are the solutions to the equation 5y^2+8y-100=y^2+4y-37 ?

The solutions to the equation 5y^2+8y-100=y^2+4y-37 are y= 7/2 ,y=-9/2

Find the zeros of 5y^2+8y-100=y^2+4y-37

The zeros of 5y^2+8y-100=y^2+4y-37 are y= 7/2 ,y=-9/2

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5 y^{2} + 8 y - 100 = y^{2} + 4 y - 37

y = \frac{7}{2}, y = - \frac{9}{2}

Decimal Notation

y = 3.5, y = - 4.5

Solution steps

5 y^{2} + 8 y - 100 = y^{2} + 4 y - 37

Move

37

to the left side

5 y^{2} + 8 y - 63 = y^{2} + 4 y

Move

4 y

to the left side

5 y^{2} + 4 y - 63 = y^{2}

Move

y^{2}

to the left side

4 y^{2} + 4 y - 63 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 4 ( - 63 )}{2 \cdot 4}

4^{2} - 4 \cdot 4 (- 63) = 32

y_{1, 2} = \frac{- 4 \pm 32}{2 \cdot 4}

Separate the solutions

y_{1} = \frac{- 4 + 32}{2 \cdot 4}, y_{2} = \frac{- 4 - 32}{2 \cdot 4}

y = \frac{- 4 + 32}{2 \cdot 4} : \frac{7}{2}

y = \frac{- 4 - 32}{2 \cdot 4} : - \frac{9}{2}

The solutions to the quadratic equation are:

y = \frac{7}{2}, y = - \frac{9}{2}

x, x^{2} + 4 x y + y^{2} = 5

x^{2} + 3 + 2 = 0

x, 2 x^{2} - 8 x y - y^{2} - x + 3 y + 6 = 0

9 x^{2} + 37 = 4 x^{2} + 882

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

What are the solutions to the equation 5y^2+8y-100=y^2+4y-37 ?
The solutions to the equation 5y^2+8y-100=y^2+4y-37 are y= 7/2 ,y=-9/2
Find the zeros of 5y^2+8y-100=y^2+4y-37
The zeros of 5y^2+8y-100=y^2+4y-37 are y= 7/2 ,y=-9/2