Solve the equation. \frac{1}{2}(3x-5)^{2}-25=25

abondantQ

abondantQ

Answered question

2021-09-21

Solve the equation. 12(3x5)225=25

Answer & Explanation

Alara Mccarthy

Alara Mccarthy

Skilled2021-09-22Added 85 answers

Step 1
Given equation:
12(3x5)225=25
Step 2
To solve the given equation add 25 on both sides,
12(3x5)225+25=25+25
simplify it,
12(3x5)2=50
Multiply both sides by 2,
2×12(3x5)2=2×50
simplify,
(3x5)2=100
Take square root on both sides,
3x5=100
3x5=±10
Solve both equations,
First equation,
3x−5=10
3x=10+5
3x=15
x=153
x=5
Second equation,
3x−5=−10
3x=10+5
3x=5
x=53
Thus, the solutions are x =5, x=53.

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