Decomposed 7258

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?

Correct 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

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

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

algebraarithmeticbasic operations and conceptsGrade of the word problem

Related math problems and questions: