What are the solutions to the equation x^2+(3/2)^2=9 ?

The solutions to the equation x^2+(3/2)^2=9 are x=(3sqrt(3))/2 ,x=-(3sqrt(3))/2

Find the zeros of x^2+(3/2)^2=9

The zeros of x^2+(3/2)^2=9 are x=(3sqrt(3))/2 ,x=-(3sqrt(3))/2

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x^{2} + (\frac{3}{2})^{2} = 9

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

Solution steps

x^{2} + (\frac{3}{2})^{2} = 9

Expand

x^{2} + (\frac{3}{2})^{2} : x^{2} + \frac{9}{4}

x^{2} + \frac{9}{4} = 9

Move

\frac{9}{4}

to the right side

x^{2} = 9 - \frac{9}{4}

Simplify

9 - \frac{9}{4} : \frac{27}{4}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{27}{4}, x = - \frac{27}{4}

\frac{27}{4} = \frac{3 3}{2}

- \frac{27}{4} = - \frac{3 3}{2}

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

(x + 9)^{2} + 7 (x + 9) + 6 = 0

3 (x + 9)^{2} = 8

2 x^{2} - 2000 x + 100000 = 0

16 x^{2} = 40 x - 25

5 x^{2} - 10 x - 4 = 0

What are the solutions to the equation x^2+(3/2)^2=9 ?
The solutions to the equation x^2+(3/2)^2=9 are x=(3sqrt(3))/2 ,x=-(3sqrt(3))/2
Find the zeros of x^2+(3/2)^2=9
The zeros of x^2+(3/2)^2=9 are x=(3sqrt(3))/2 ,x=-(3sqrt(3))/2