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Problem 96

Evaluate \(\sqrt{b^{2}-4 a c}\) for each set of values. See Section 10.3 $$ a=3, b=-1, c=-2 $$

Problem 96

Use the quadratic formula to solve each quadratic equation. $$ 7 x^{2}+\sqrt{7} x-2=0 $$

Problem 97

Evaluate \(\sqrt{b^{2}-4 a c}\) for each set of values. See Section 10.3 $$ a=1, b=-3, c=-1 $$

Problem 98

Without solving, determine whether the solutions of each equation are real numbers or complex, but not real numbers. See the Concept Check in this section. $$ (x+1)^{2}=-1 $$

Problem 99

Recall that the discriminant also tells us the number of \(x\) -interceptsof the related function. Check the results of Exercise 49 by graphing \(y=9 x-2 x^{2}+5\)

Problem 99

Without solving, determine whether the solutions of each equation are real numbers or complex, but not real numbers. See the Concept Check in this section. $$ (y-5)^{2}=-9 $$

Problem 100

Without solving, determine whether the solutions of each equation are real numbers or complex, but not real numbers. See the Concept Check in this section. $$ 3 z^{2}=10 $$

Problem 101

Without solving, determine whether the solutions of each equation are real numbers or complex, but not real numbers. See the Concept Check in this section. $$ 4 x^{2}=17 $$

Problem 102

Without solving, determine whether the solutions of each equation are real numbers or complex, but not real numbers. See the Concept Check in this section. $$ (2 y-5)^{2}+7=3 $$

Problem 103

Without solving, determine whether the solutions of each equation are real numbers or complex, but not real numbers. See the Concept Check in this section. $$ (3 m+2)^{2}+4=1 $$

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