1.

Divide 10 into two parts such that the sum of their squares is 52​

Answer»

Answer:

Step-by-step explanation:

10 is divided into 2 parts

1st PART is x

2nd part is 10-x

x^2+(10-x)^2=52

x^2+100-20 x+x^2=52

2 x^2-20 x+100=52

2 x^2-20 x+48=0

x^2-10 x+24=0

x^2-6 x-4 x+24=0

x(x-6)-4(x-6)=0

(x-4)(x-6)=0

x=4,6

1st part is 4

2nd part is 6

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