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Use discriminant to determine the value of k in a quadratic (no roots)
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The discriminant is the part of the quadratic formula underneath the square root symbol: b^2−4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
If b^2−4ac=0 (1 real root)
If b^2−4ac GREATER THAN 0 (2 real root)
If b^2−4ac LESS THAN 0 (0 real root)
Q1. The function 3x^2+4x+k=0 has no zeros. What is the value of k?
Q2. The function −2x^2+6x+k=0 has no zeros. What is the value of k?
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