What is the answer to -3/4 |x+5|+5/2 =1 ?

The answer to -3/4 |x+5|+5/2 =1 is x=-7\lor x=-3

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-3/4 |x+5|+5/2 =1

- \frac{3}{4} ∣ x + 5 ∣ + \frac{5}{2} = 1

x = - 7 or x = - 3

Solution steps

- \frac{3}{4} ∣ x + 5 ∣ + \frac{5}{2} = 1

Move

\frac{5}{2}

to the right side

- \frac{3}{4} ∣ x + 5 ∣ = - \frac{3}{2}

Multiply both sides by

4

- 3 ∣ x + 5 ∣ = - 6

Divide both sides by

- 3

∣ x + 5 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - 2 or x + 5 = 2

x + 5 = - 2 or x + 5 = 2

x = - 7 or x = - 3

- 22 < t - 3 - 1

(\frac{x ^{2}}{9})^{2}

\frac{\frac{1}{( x + h ) ^{3}} - \frac{1}{x ^{3}}}{h}

3 \leq 3 x - 4 \leq 2 x + 1

x^{2} - \frac{1}{4} x + \frac{1}{64}

What is the answer to -3/4 |x+5|+5/2 =1 ?
The answer to -3/4 |x+5|+5/2 =1 is x=-7\lor x=-3
Solve for x: -3/4 |x+5|+5/2 =1
The solution is x=-7\lor x=-3