What is the answer to |x^2-5x|=14 ?

The answer to |x^2-5x|=14 is x=-2\lor x=7

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|x^2-5x|=14

x^{2} - 5 x = 14

x = - 2 or x = 7

Solution steps

x^{2} - 5 x = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 5 x = - 14 or x^{2} - 5 x = 14

x^{2} - 5 x = - 14 or x^{2} - 5 x = 14

No Solution or (x = - 2 or x = 7)

x = - 2 or x = 7

(\frac{3 x ^{2} y ^{5} z ^{- 2}}{5 x z ^{5}})^{- 3}

5 x^{2} + 6 x = - 5

y, 2 x - y + 5^{x - 1} = 7 \cdot 5

16 - 4

4 x + 2 = \frac{1}{2} x + 17