Question

Please solve the above problem

Answer 1

Answer:

x = 9,1

Step-by-step explanation:

Given Equation is x² - 10x + 9 = 0

It can be written as :

x² - 10x = -9

(i) Add the square of half the coefficient of 'x' on both sides,

x² - 10x + (5)² = -9 + (5)²

(x - 5)² = -9 + 25

(x - 5)² = 16

(x - 5) = ±4

(ii)

x - 5 = 4

x = 4 + 5

x = 9.

(iii)

x - 5 = -4

x = -4 + 5

x = 1.

Therefore, the value of x = 9,1.

Hope it helps!

Answer 2

Step-by-step explanation:

Given Equation is x² - 10x + 9 = 0

It can be written as :

x² - 10x = -9

x² - 10x + (5)² = -9 + (5)²

(x - 5)² = -9 + 25

(x - 5)² = 16

(x - 5) = ±4

x - 5 = 4

x = 4 + 5

x = 9.

x - 5 = -4

x = -4 + 5

x = 1.