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

The answer to |x^2-5|=5x+5 is x=0\lor x=(5+sqrt(65))/2

Solve for x: |x^2-5|=5x+5

The solution is x=0\lor x=(5+sqrt(65))/2

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

x = 0 or x = \frac{5 + 65}{2}

Decimal Notation

x = 0, x = 6.53112 \dots

Solution steps

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

Find positive and negative intervals

x \leq - 5, - 5 < x < 5, x \geq 5

Solve the inequality for each interval

No Solution or x = 0 or x = \frac{5 + 65}{2}

x = 0 or x = \frac{5 + 65}{2}

∣ 2 z - 3 ∣ = - 4 z + 1

∣ x - 5 ∣ + 8 = 9

x^{2} - 3 ∣ x ∣ - 10 = 0

∣ x ∣ - 9 = - 5

∣ 2 x - 1 ∣ + 4 = 4

What is the answer to |x^2-5|=5x+5 ?
The answer to |x^2-5|=5x+5 is x=0\lor x=(5+sqrt(65))/2
Solve for x: |x^2-5|=5x+5
The solution is x=0\lor x=(5+sqrt(65))/2