What is the answer to |x-7|=4sqrt(5) ?

The answer to |x-7|=4sqrt(5) is x=-4sqrt(5)+7\lor x=4sqrt(5)+7

Solve for x: |x-7|=4sqrt(5)

The solution is x=-4sqrt(5)+7\lor x=4sqrt(5)+7

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∣ x - 7 ∣ = 45

x = - 45 + 7 or x = 45 + 7

Decimal

x = - 1.94427 \dots, x = 15.94427 \dots

Solution steps

∣ x - 7 ∣ = 45

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 = - 45 or x - 7 = 45

x - 7 = - 45 or x - 7 = 45

x = - 45 + 7 or x = 45 + 7

x^{2} - 17 ∣ x ∣ + 72 = 0

∣ 5 x - 7 ∣ - 12 = - 3

- 1 = - 4 ∣ x - 3 ∣

∣ 5 - 5 x ∣ = 2

∣ 3 a + 6 ∣ = ∣ 3 a - 8 ∣

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