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Solve the inequality and express your answer in interval notation. x² + 8x + 3 < 0

User BobK
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5 votes

Answer:

Convert the inequality to an equation.

x2+8x+3=0" role="presentation">x2+8x+3=0x2+8x+3=0

Use the quadratic formula to find the solutions.

-b&#xB1;b2-4(ac)2a" role="presentation">−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=1" role="presentation">a=1a=1, b=8" role="presentation">b=8b=8, and c=3" role="presentation">c=3c=3 into the quadratic formula and solve for x" role="presentation">xx.

-8&#xB1;82-4&#x22C5;(1&#x22C5;3)2&#x22C5;1" role="presentation">−8±√82−4⋅(1⋅3)2⋅1

User Abhishek Kanojia
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