Math, asked by nithintop2937, 1 year ago

What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

Answers

Answered by ALTAF11
2
Let the first no. be x
& the second no. be x+1

now according to the question

x²+(x+1)²=145

x²+x²+1+2x=145

2x²+2x+1-145=0

2x²+2x-144=0

x²+x-72=0

x²+9x-8x-72=0

x(x+9)-8(x+9)=0

(x-8)(x+9)=0

(x-8)=0
x=8

(x+9)=0
x=-9

⭐If The value of x we take 8
then x+1
=9

⭐If x=-9
x+1
=-9+1
=-8


@Altaf

Answered by Aaradhyamishra2012
0

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