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

Dowqueuestbew1j 2021-12-19 Answered
Find all real solutions of the equation.
x2+24x+144=0
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Expert Answer

Terry Ray
Answered 2021-12-20 Author has 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.
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Annie Gonzalez
Answered 2021-12-21 Author has 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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