What are the solutions to the equation x^2+3/2 x+9/16 =0 ?

The solutions to the equation x^2+3/2 x+9/16 =0 are x=-3/4

Find the zeros of x^2+3/2 x+9/16 =0

The zeros of x^2+3/2 x+9/16 =0 are x=-3/4

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x^{2} + \frac{3}{2} x + \frac{9}{16} = 0

x = - \frac{3}{4}

Decimal

x = - 0.75

Solution steps

x^{2} + \frac{3}{2} x + \frac{9}{16} = 0

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

x^{2} \cdot 16 + \frac{3}{2} x \cdot 16 + \frac{9}{16} \cdot 16 = 0 \cdot 16

Simplify

16 x^{2} + 24 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 16 \cdot 9}{2 \cdot 16}

2 4^{2} - 4 \cdot 16 \cdot 9 = 0

x_{1, 2} = \frac{- 24 \pm 0}{2 \cdot 16}

x = \frac{- 24}{2 \cdot 16}

\frac{- 24}{2 \cdot 16} = - \frac{3}{4}

x = - \frac{3}{4}

The solution to the quadratic equation is:

x = - \frac{3}{4}

x^{2} + 8 x - 8 = 25

x^{2} - x - 30 = 0

918 = 5 t^{2} + 3 t + 280

25 n^{2} - 24 n + 6 = n

5 x^{2} - 12 x = 2 x^{2}

What are the solutions to the equation x^2+3/2 x+9/16 =0 ?
The solutions to the equation x^2+3/2 x+9/16 =0 are x=-3/4
Find the zeros of x^2+3/2 x+9/16 =0
The zeros of x^2+3/2 x+9/16 =0 are x=-3/4