Solve the following quadratic equations by factorization method: \frac{4}{x}-3=\frac{5}{2x+3}x\ne 0 ,

Julia White

Julia White

Answered question

2021-12-20

Solve the following quadratic equations by factorization method:
4x3=52x+3x0,32

Answer & Explanation

Kindlein6h

Kindlein6h

Beginner2021-12-21Added 27 answers

Step 1
The answer is given below:
Step 2
4x3=52x+3,n0,32
(4x)x(2x+3)3(x)(2x+3)=5(x)(2x+3)(2x+3)
4(2x+3)-3x(2x+3)=5x
8x+126x29=5x
6x23x3=0
2x2x1=0
x=2,x=1
twineg4

twineg4

Beginner2021-12-22Added 33 answers

Step 1
4x3=5(2x+3)
(43x)x=5(2x+3)
(43x)(2x+3)=5x
(6x2x+12)5x=0
(6x26x+12)=0
(x2+x+(2))=0
(x2+2xx2)=0
(x+2)(x1)=0
x=2 or x=1
Step 2
Thus, the solution is
x = 1 or x = -2
nick1337

nick1337

Expert2021-12-28Added 777 answers

Step 1 Given
4x3=52x+3
Step 2 solving
43xx=52x+3(43x)(2x+3)=5x6x2+6x12=0x2+x2=0x2+2xx2=0x(x+2)(x+2)=0
x+2=0 or, x-1=0
x=-2 or, x=1

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