Solve the given quadratic equation by factorization method. \frac{x+3}{x-2}-\frac{1-x}{x}=\frac{17}{4}

Paligutanhk

Paligutanhk

Answered question

2021-12-22

Solve the given quadratic equation by factorization method.
x+3x21xx=174

Answer & Explanation

einfachmoipf

einfachmoipf

Beginner2021-12-23Added 32 answers

Step 1 Given
x+3x21xx=174
Step 2 Finding the value of x
x(x+3)(1x)(x2)x(x2)=174
x2+3x(x2x2+2x)x22x=174
x2+3xx+2+x22xx22x=174
2x2+2x22x=174
8x2+8=17x234x
17x234x8x28=0
9x234x8=0
9x236x+2x8=0
9x(x-4)+2(x-4)=0
(9x+2)(x-4)=0
9x+2=0; x-4=0
9x=-2; x=4
x=29
x=4 or x=29
Mollie Nash

Mollie Nash

Beginner2021-12-24Added 33 answers

Step 1
x+3x21xx=174
Step 2
Now
x(x+3)(1x)(x2)x(x2)=174
x2+3x(xx22+2x)x22x=174
x2+3x3x+x2+2x22x=174
2x2+2x22x=174
4(2x2+2)=17(x22x)
8x2+8=17x234x
17x234x8x28=0
9x234x8=0
9x236x+2x8=0
9x(x-4)+2(x-4)=0
(9x+2)(x-4)=0
First
9x+2=0
x=29
Second
x-4=0
x=4
We have two values of x which are 29 and 4.
karton

karton

Expert2021-12-30Added 613 answers

Step 1 Given
x+3x21xx=174
Step 2 solving
x(x+3)(1x)(x2)x(x2)=174
x2+3x(x2x2+2x)x22x=174
2x2+2x22x=174
8x2+8=17x234x
9x234x8=0
9x236x+2x8=0
9x(x-4)+2(x-4)=0
(x-4)(9x+2)=0
x-4=0 or, 9x+2=0
x=4 or, x=29

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