Question

a) Which number is to be added toX2
+ 10 x to get a perfect square ?

b) Find the natural number value of x from the equation x
2
+ 10 x = 144 ?​

Answer 1

Answer:

a)x²+10x+?=(x+?)²

=>10x=2.x.?

=>?= 5

b)x²+10x=144

=>x²+10x-144=0

=>x²+18x-8x-144=0

=>x(x+18)-8(x+18)=0

=>(x+18)(x-8)=0

=>x=(-18) or x=8

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Answer 2

Answer:

Step-by-step explanation:

a} x2 + 10x

adding  number = { 10/2 }²

                              { 5 }²

                              25

b} x² + 10x = 144

x² + 10x - 144 = 0

a = 1

b = 10

c = -144

x = -b + or - √b² - 4ac ÷ 2a

b² - 4ac

10² - 4 × 1 × -144

100 - -576

676

x = -10 + or - √576 ÷  2 × 1

     -10 + or - 26 ÷ 2

x = -10 + 26 ÷ 2

   = 16 ÷ 2

    = 8

x = -10 - 26 ÷ 2

  =-36 ÷ 2

   = -18

x = 8 or -18

Hope you understand

Thank you