Find all real solutions of the equation. x^{2}+24x+144=0

Dowqueuestbew1j

Dowqueuestbew1j

Answered question

2021-12-19

Find all real solutions of the equation.
x2+24x+144=0

Answer & Explanation

Terry Ray

Terry Ray

Beginner2021-12-20Added 50 answers

Step 1
We have to find the all real solutions of the equation:
x2+24x+144=0
Solving the equation by factorization, we get
x2+24x+144=0
x2+12x+12x+144=0
x(x+12)+12(x+12)=0
(x+12)(x+12)=0
Step 2
Either,
x+12=0
x=-12
or,
x+12=0
x=-12
Hence, solutions of the equation are x=-12, -12.
Annie Gonzalez

Annie Gonzalez

Beginner2021-12-21Added 41 answers

Consider the following expression
x2+24x+144=0
Split out the term 24x into two terms such that product of these terms is equal to product of 1 and 144. Then take common terms out again.
That is,
x2+24x+144=0
x2+12x+12x+144=0
x(x+12)+12(x+12)=0
(x+12)2=0
(x+12)=0
x=-12
Hence the solution of the equation is -12

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