Solve the following quadratic equations by factorization method \frac{x+3}{x-2}-\frac{1-x}{x}=\frac{17}{4}

Lewis Harvey

Lewis Harvey

Answered question

2021-05-19

Solve the following quadratic equations by factorization method
x+3x21xx=174

Answer & Explanation

Anonym

Anonym

Skilled2021-05-20Added 108 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(x4)+2(x4)=0
(9x+2)(x4)=0
First
9x+2=0
x=29
Second
x4=0
x=4
We have two values of x which are 29 and 4.

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