Question

Could u please solve it
5xsquare -7x-6=0
Solve it by method of square

Answer 1

Answer:

2,-3/5

Step-by-step explanation:

Given Equation is 5x² - 7x - 6 = 0.

(i) Get  the coefficient of squared term to be 1.

⇒ (5x²/5) - (7x/5) - (6/5) = 0

⇒ x² - (7x/5) - (6/5) = 0

(ii) Add the square of half of the coefficient of x on both sides.

⇒ x² - (7x/5) - (6/5) + (7/10)² = 0 + (7/10)²

⇒ (x - 7/10)² - (6/5) = (7/10)²

⇒ (x - 7/10)² - (6/5) = 49/100

⇒ (x - 7/10)² = (49/100) + (6/5)

⇒ (x - 7/10)² = 169/100

⇒ (x - 7/10) = ± 13/10

(i)

(x - 7/10) = 13/10

⇒ x = 13/10 + 7/10

⇒ x = 20/10

⇒ x = 2.

(ii)

x - 7/10 = -13/10

⇒ x = -13/10 + 7/10

⇒ x = -6/10

⇒ x = -3/5.

Therefore, the values of x = 2,-3/5.

Hope it helps!

Answer 2

Step-by-step explanation:

5x² - 7x - 6 = 0.

(5x²/5) - (7x/5) - (6/5) = 0

x² - (7x/5) - (6/5) = 0

x² - (7x/5) - (6/5) + (7/10)² = 0 + (7/10)²

x - 7/10)² - (6/5) = (7/10)²

(x - 7/10)² - (6/5) = 49/100

(x - 7/10)² = (49/100) + (6/5)

(x - 7/10)² = 169/100

(x - 7/10) = ± 13/10

(i)

(x - 7/10) = 13/10

x = 13/10 + 7/10

x = 20/10

x = 2.

(ii)

x - 7/10 = -13/10

x = -13/10 + 7/10

x = -6/10

x = -3/5.