What is the answer to |4X^2-9|+2=2 ?

The answer to |4X^2-9|+2=2 is X=-3/2 \lor X= 3/2

Solve for X: |4X^2-9|+2=2

The solution is X=-3/2 \lor X= 3/2

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4 X^{2} - 9 + 2 = 2

X = - \frac{3}{2} or X = \frac{3}{2}

Solution steps

4 X^{2} - 9 + 2 = 2

Subtract

2

from both sides

4 X^{2} - 9 + 2 - 2 = 2 - 2

Simplify

4 X^{2} - 9 = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 X^{2} - 9 = 0

4 X^{2} - 9 = 0 : X = \frac{3}{2}, X = - \frac{3}{2}

X = - \frac{3}{2} or X = \frac{3}{2}

16 a^{7} - 14 a^{4} - 2 a

9 x^{2} + 25 = 0

\frac{57}{3}

\frac{( x - 3 )}{2 x + 1} < 4

\frac{2}{7} - \frac{5}{21} \frac{1}{7}

What is the answer to |4X^2-9|+2=2 ?
The answer to |4X^2-9|+2=2 is X=-3/2 \lor X= 3/2
Solve for X: |4X^2-9|+2=2
The solution is X=-3/2 \lor X= 3/2