Solve a quadratic inequality
Not checkedSolve the quadratic inequality over the real numbers:
\(x^2+4x+3<0\)
Cambridge 9709 · Pure Mathematics 1
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Maths4U Original: notes, examples & two exam-style problems
10 questions to work through
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Find the critical values and test the intervals on paper. Choose the complete solution set, including or excluding endpoints as required.
Solve the quadratic inequality over the real numbers:
\(x^2+4x+3<0\)
Solve the quadratic inequality over the real numbers:
\(x^2-5x+6\ge 0\)
Solve the quadratic inequality over the real numbers:
\(x^2-7x+10\le 0\)
Solve the quadratic inequality over the real numbers:
\(4x^2-4x-3>0\)
Solve the quadratic inequality over the real numbers:
\(-x^2+4x+5>0\)
Solve the quadratic inequality over the real numbers:
\(-2x^2+8x-6<0\)
Solve the quadratic inequality over the real numbers:
\(x^2-4x+4<0\)
Solve the quadratic inequality over the real numbers:
\(x^2-6x+9\le 0\)
Solve the quadratic inequality over the real numbers:
\(x^2+4x+5>0\)
Solve the quadratic inequality over the real numbers:
\(x^2+4x+2<0\)
Practice complete
Return later and solve \(-x^2+x+6\ge0\). Explain both the sign and the endpoint choices.
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