What is the answer to 3|2a-5|=21 ?

The answer to 3|2a-5|=21 is a=-1\lor a=6

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3|2a-5|=21

3 ∣ 2 a - 5 ∣ = 21

a = - 1 or a = 6

Solution steps

3 ∣ 2 a - 5 ∣ = 21

Divide both sides by

3

∣ 2 a - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 a - 5 = - 7 or 2 a - 5 = 7

2 a - 5 = - 7 or 2 a - 5 = 7

a = - 1 or a = 6

z^{2} - 11 z - 12

\frac{1}{\frac{3}{3}}

\frac{x ( x + 2 )}{4 x ^{2} - 9} < \frac{1}{5}

64 x^{3} - y^{6}

\frac{q ^{6} ( - r ) ^{7}}{q ^{10} r ^{5}}