Decomposed 7258

The number 135 can be decomposed into the product of two factors so that 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+3b135=0  p=0.4;q=3;r=135 D=q24pr=3240.4(135)=225 D>0  b1,2=2pq±D=0.83±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.

a2=3+0.40 b2=3+0.40 (22.5)=6

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