What are the solutions to the equation y^2+7/4 y+49/64 =0 ?

The solutions to the equation y^2+7/4 y+49/64 =0 are y=-7/8

Find the zeros of y^2+7/4 y+49/64 =0

The zeros of y^2+7/4 y+49/64 =0 are y=-7/8

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y^{2} + \frac{7}{4} y + \frac{49}{64} = 0

y = - \frac{7}{8}

Decimal Notation

y = - 0.875

Solution steps

y^{2} + \frac{7}{4} y + \frac{49}{64} = 0

Find Least Common Multiplier of

4, 64 : 64

Multiply by LCM=

64

y^{2} \cdot 64 + \frac{7}{4} y \cdot 64 + \frac{49}{64} \cdot 64 = 0 \cdot 64

Simplify

64 y^{2} + 112 y + 49 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- 112 \pm 11 2 ^{2} - 4 \cdot 64 \cdot 49}{2 \cdot 64}

11 2^{2} - 4 \cdot 64 \cdot 49 = 0

y_{1, 2} = \frac{- 112 \pm 0}{2 \cdot 64}

y = \frac{- 112}{2 \cdot 64}

\frac{- 112}{2 \cdot 64} = - \frac{7}{8}

y = - \frac{7}{8}

The solution to the quadratic equation is:

y = - \frac{7}{8}

8 (\frac{9}{49}) + 12 (\frac{289}{49}) + 4 (x) = 24

75 r^{2} - 48

8 x - 10 = 4 x - 30

2^{l o g_{2} (7)}

- 2 (- 1)

What are the solutions to the equation y^2+7/4 y+49/64 =0 ?
The solutions to the equation y^2+7/4 y+49/64 =0 are y=-7/8
Find the zeros of y^2+7/4 y+49/64 =0
The zeros of y^2+7/4 y+49/64 =0 are y=-7/8