(2x+3)²+x²=144
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Answered by
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Answer:
x=−6/5+3/5√79 or x=−6/5−3/5√79
Step-by-step explanation:
Let's solve your equation step-by-step.
(2x+3)2+x2=144
Step 1: Simplify both sides of the equation.
5x2+12x+9=144
Step 2: Subtract 144 from both sides.
5x2+12x+9−144=144−144
5x2+12x−135=0
For this equation: a=5, b=12, c=-135
5x2+12x+−135=0
Step 3: Use quadratic formula with a=5, b=12, c=-135.
x=−b±√b2−4ac/2a
x=−(12)±√(12)2−4(5)(−135)/2(5)
x=−12±√2844/10
x=−6/5+3/5√79 or x=−6/5−3/5√79
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Answer:
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