Solve the equation. 3\sqrt{2x-3}+2\sqrt{7-x}=11

gamau6v

gamau6v

Answered question

2021-11-17

Solve the equation.
32x3+27x=11

Answer & Explanation

Angsts

Angsts

Beginner2021-11-18Added 8 answers

Step 1
Given:
32x3+27x=11
To Find: Solution of above given equation
Step 2
Solution:
32x3+27x=11
32x3=1127x
Squaring both sides we get
9(2x3)=121+4(7x)447x
18x27=121+284x447x
17622x=447x
8x=27x
Again squaring both sides we get
64+x2=4(7x)
64+x216x=284x
x212x+36=0
(x6)2=0
x=6
Hence x = 6 is the solution of given equation.
Ida Perry

Ida Perry

Beginner2021-11-19Added 20 answers

32x3+27x=11
[32x3+27x]2=[11]2
[9(2x3)+4(7x)+122x3(7x)]=121
18x27+284x+1217x2x221=121
1217x2x221=14x+120
144(17x2x221)=1962+144003360x
2448x288x23024=196x2+144003360x
5808x484x217424=0
1452x121x24356=0
121x21452x+4356=0
By Quadratic formula,
x = 6

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