Solve the equation algebraically. Verify your results using a graphing

William Collins

William Collins

Answered question

2021-12-20

Solve the equation algebraically. Verify your results using a graphing utility.
(x+2)(x3)=(x+3)2

Answer & Explanation

Mary Nicholson

Mary Nicholson

Beginner2021-12-21Added 38 answers

(x+2)(x3)=(x+3)2 
x23x+2x6=x2+9+6x 
x2x6x296x=0 
x156x=0 
157x=0 
x=157 
Use Ti-83 calculator to find the solution of the equation. 


Step 1: Press ON key. 
Step 2: Press Y= key to enter the equation. 
Step 3: Enter the equation as Y1=(X+2)(X3)(X+3)2
Step 4: Press the GRAPH key to draw the graph. 
The displaying figure is given below as, 

sirpsta3u

sirpsta3u

Beginner2021-12-22Added 42 answers

Use the distributive property to multiply x+2 by x3 and combine like terms. 
x2x6=(x+3)2 
Use binomial theorem (a+b)2=a2+2ab+b2
x2x6=x2+6x+9 
x2x6x2=6x+9 
Combine x2  and  x2 to get 0. 
x6=6x+9 
x66x=9 
7x6=9 
7x=9+6
7x=15
x=157 
Fraction 157 can be rewritten as 157 by extracting the negative sign. 
x=157.

nick1337

nick1337

Expert2021-12-28Added 777 answers

x2x6=x2+6x+9
x2x6+6=x2+6x+9+6
x2x=x2+6x+15
x2x(x2+6x)=x2+6x+15(x2+6x)
7=15
7x7=157
x=157

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