Number factor decomposition

The number 135 can be decomposed into the product of two factors, so one will be three greater than 40% of the other. What are these factors?

Final Answer:

a1 =  9
b1 =  15
a2 =  -6
b2 =  -22.5

Step-by-step explanation:

ab = 135 a = 3+0.40b  (3+0.40b)⋅ b=135  (3+0.40b)⋅ b=135 0.40000000000001b2+3b−135=0  p=0.4;q=3;r=−135 D=q2−4pr=32−4⋅0.4⋅(−135)=225 D>0  b1,2​=2p−q±D​​=0.8−3±225​​ b1,2​=−3.75±18.75 b1​=15 b2​=−22.5  a1​=3+0.40⋅ b1​=3+0.40⋅ 15=9

Our quadratic equation calculator calculates it.

b1​=15
a2​=3+0.40⋅ b2​=3+0.40⋅ (−22.5)=−6
b2​=(−22.5)=−22.5

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You need to know the following knowledge to solve this word math problem:

algebraarithmeticbasic operations and conceptsGrade of the word problem

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