Answer:
x=−3±i√72x=-3±i72
Step-by-step explanation:
Write the problem as a mathematical expression.
x2+3x+4=0x2+3x+4=0
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=1a=1, b=3b=3, and c=4c=4 into the quadratic formula and solve for xx.
−3±√32−4⋅(1⋅4)2⋅1-3±32-4⋅(1⋅4)2⋅1
Simplify.
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Simplify the numerator.
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x=−3±i√72⋅1x=-3±i72⋅1
Multiply 22 by 11.
x=−3±i√72
