Pedro and Rebecca were trying to solve the equation: 0.1 x 2 − 0.7 x + 1.2 = 0 0.1x 2 −0.7x+1.2=00, point, 1, x, squared, minus, 0, point, 7, x, plus, 1, point, 2, equals, 0 Pedro said, "I can multiply the entire equation by 10 1010 and then factor. Then I can solve using the zero product property." Rebecca said, "I'll solve using the quadratic formula with a = 0.1 a=0.1a, equals, 0, point, 1, b = − 0.7 b=−0.7b, equals, minus, 0, point, 7, and c = 1.2 c=1.2c, equals, 1, point, 2." Whose solution strategy would work?
Answers
Given : Pedro and Rebecca were trying to solve the equation:
0.1x² − 0.7x + 1.2 = 0
Pedro said, "I can multiply the entire equation by 10 and then factor. Then I can solve using the zero product property
Rebecca said, "I'll solve using the quadratic formula with a = 0.1 b = − 0.7 and c = 1.2
To Find : Whose solution strategy would work?
Solution:
0.1x² − 0.7x + 1.2 = 0
multiply the entire equation by 10
=> x² - 7x + 12 = 0
=>x² - 3x - 4x + 12 = 0
=> x (x - 3) - 4(x - 3) = 0
=> (x - 3)(x - 4) = 0
solve using the quadratic formula
a = 0.1 b = − 0.7 and c = 1.2
(-b ± √b² - 4ac)/2a
= (-(-0.7) ± √(-0.7)² - 4(0.1)(1.2) )/ 2(0.1)
= (0.7 ± √0.49 - 0.48)/0.2
= (0.7 ± √0.01)/0.2
= (0.7 ± 0.1)/0.2
= 0.8/0.2 or 0.6/0.2
= 4 , 3
Both strategy work
But Pedro strategy is easier and simple in this case
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Answer:
Both. I took khan academy quiz
Step-by-step explanation: