Solve the equation by completing the square. x²+6x-4=0
1 answer:
Answer:
<u>x = √13 - 3 </u>
<u>x = -√13 - 3 </u>
Step-by-step explanation:
Given :
Solving :
x² + 6x + 9 - 9 - 4 = 0 [Adding and subtracting 9] (x + 3)² - 13 = 0 [Group the square term together ] (x + 3)² -13 + 13 = 0 + 13 [Add 13 on both sides ] √(x + 3)² = √13 [Taking square root on both sides ] x + 3 - 3 = ±√13 - 3 [Subtract 3 from both sides ] x = ±√13 - 3
Solutions :
<u>x = √13 - 3 </u> <u>x = -√13 - 3 </u>
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Step-by-step explanation:
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