+23254 Get it into the form so that you can use the quadratic formula.
x² + 14x = 33 ---> x² + 14x - 33 = 0
a = 1 b = 14 c = -33 Quadratic formula: x = [ -b ± √(b² -4·a·c) ] / (2·a)
Positive solution: x = [ -14 + √(14² -4·1·-33) ] / (2·1) = [-14 + √328]/2
= [-14 + 2√82]/2 = -7 + √82 = √82 - 7
(Notice that the problem has a to be the value under the square root sign and b is the number after the minus sign.)
---> a = 82 and b = 7
So, how much is a + b ?
+23254 Get it into the form so that you can use the quadratic formula.
x² + 14x = 33 ---> x² + 14x - 33 = 0
a = 1 b = 14 c = -33 Quadratic formula: x = [ -b ± √(b² -4·a·c) ] / (2·a)
Positive solution: x = [ -14 + √(14² -4·1·-33) ] / (2·1) = [-14 + √328]/2
= [-14 + 2√82]/2 = -7 + √82 = √82 - 7
(Notice that the problem has a to be the value under the square root sign and b is the number after the minus sign.)
---> a = 82 and b = 7
So, how much is a + b ?
