What are the solutions to the equation x^2+8/2 x+15/4 =0 ?

The solutions to the equation x^2+8/2 x+15/4 =0 are x=-3/2 ,x=-5/2

Find the zeros of x^2+8/2 x+15/4 =0

The zeros of x^2+8/2 x+15/4 =0 are x=-3/2 ,x=-5/2

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x^{2} + \frac{8}{2} x + \frac{15}{4} = 0

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

Decimal Notation

x = - 1.5, x = - 2.5

Solution steps

x^{2} + \frac{8}{2} x + \frac{15}{4} = 0

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

x^{2} \cdot 4 + \frac{8}{2} x \cdot 4 + \frac{15}{4} \cdot 4 = 0 \cdot 4

Simplify

4 x^{2} + 16 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 \cdot 15}{2 \cdot 4}

1 6^{2} - 4 \cdot 4 \cdot 15 = 4

x_{1, 2} = \frac{- 16 \pm 4}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 16 + 4}{2 \cdot 4}, x_{2} = \frac{- 16 - 4}{2 \cdot 4}

x = \frac{- 16 + 4}{2 \cdot 4} : - \frac{3}{2}

x = \frac{- 16 - 4}{2 \cdot 4} : - \frac{5}{2}

The solutions to the quadratic equation are:

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

p^{2} + 9 p = 0

3 x^{2} + 2 x - 8 = 0

4 n^{2} - 3 n - 17 = 5

2 x - 1 = x^{2} - 4

x, 5 x^{2} - 45 = 0

What are the solutions to the equation x^2+8/2 x+15/4 =0 ?
The solutions to the equation x^2+8/2 x+15/4 =0 are x=-3/2 ,x=-5/2
Find the zeros of x^2+8/2 x+15/4 =0
The zeros of x^2+8/2 x+15/4 =0 are x=-3/2 ,x=-5/2