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Problem 55

Use the quadratic formula to solve each of the following equations. Express the solutions to the nearest hundredth. $$x^{2}+6 x-17=0$$

Problem 56

Use the quadratic formula to solve each of the following equations. Express the solutions to the nearest hundredth. $$2 x^{2}+3 x-7=0$$

Problem 57

For Problems 57-62, \(a\) and \(b\) represent the lengths of the legs of a right triangle, and \(c\) represents the length of the hypotenuse. Express your answers in simplest radical form. (Objective 3) $$ \text { Find } c \text { if } a=1 \text { inch and } b=7 \text { inches. } $$

Problem 57

Use the quadratic formula to solve each of the following equations. Express the solutions to the nearest hundredth. $$3 x^{2}+7 x-13=0$$

Problem 58

Use the quadratic formula to solve each of the following equations. Express the solutions to the nearest hundredth. $$5 x^{2}-11 x-14=0$$

Problem 58

For Problems 57-62, \(a\) and \(b\) represent the lengths of the legs of a right triangle, and \(c\) represents the length of the hypotenuse. Express your answers in simplest radical form. (Objective 3) $$ \text { Find } c \text { if } a=2 \text { inches and } b=6 \text { inches. } $$

Problem 59

For Problems 57-62, \(a\) and \(b\) represent the lengths of the legs of a right triangle, and \(c\) represents the length of the hypotenuse. Express your answers in simplest radical form. (Objective 3) $$ \text { Find } a \text { if } c=8 \text { meters and } b=6 \text { meters. } $$

Problem 59

Use the quadratic formula to solve each of the following equations. Express the solutions to the nearest hundredth. $$4 x^{2}-9 x-19=0$$

Problem 60

Use the quadratic formula to solve each of the following equations. Express the solutions to the nearest hundredth. $$-3 x^{2}+2 x+11=0$$

Problem 60

For Problems 57-62, \(a\) and \(b\) represent the lengths of the legs of a right triangle, and \(c\) represents the length of the hypotenuse. Express your answers in simplest radical form. (Objective 3) $$ \text { Find } a \text { if } c=11 \text { centimeters and } b=7 \text { centimeters. } $$

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