What is the answer to 4x^2-16|x|+5=7 ?

The answer to 4x^2-16|x|+5=7 is x=-(4+3sqrt(2))/2 \lor x=(4+3sqrt(2))/2

Solve for x: 4x^2-16|x|+5=7

The solution is x=-(4+3sqrt(2))/2 \lor x=(4+3sqrt(2))/2

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4 x^{2} - 16 ∣ x ∣ + 5 = 7

x = - \frac{4 + 3 2}{2} or x = \frac{4 + 3 2}{2}

Decimal Notation

x = - 4.12132 \dots, x = 4.12132 \dots

Solution steps

4 x^{2} - 16 ∣ x ∣ + 5 = 7

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{4 + 3 2}{2} or x = \frac{4 + 3 2}{2}

∣ 5 x + 5 ∣ = 45

0 = 3 - ∣ x ∣

- 8 ∣ 7 + 10 b ∣ - 1 = - 105

3 ∣ 2 x + 1 ∣ = 9

0 = ∣ - 7 p - 70 ∣

What is the answer to 4x^2-16|x|+5=7 ?
The answer to 4x^2-16|x|+5=7 is x=-(4+3sqrt(2))/2 \lor x=(4+3sqrt(2))/2
Solve for x: 4x^2-16|x|+5=7
The solution is x=-(4+3sqrt(2))/2 \lor x=(4+3sqrt(2))/2