Question

1) Solve: 5x² - 4x - 3 = 0 by completing square method.​

Answer 1

5$x^2$ - 4x - 3 = 0 y completing square method is equal to $(x-2)^2$  = 7 - 4$x^2$ .

Step-by-step explanation:

We have,

5$x^2$ - 4x - 3 = 0

To solve 5$x^2$ - 4x - 3 = 0 y completing square method = ?

∴ 5$x^2$ - 4x - 3 = 0

⇒ $x^2$ - 4x - 3 + 4$x^2$ = 0

Adding and subtracting 1 both sides, we get

⇒ ($x^2$ - 4x + 4) - 4 - 3 + 4$x^2$ = + 4 - 4

⇒ ($x^2$ - 2x(2) + $2^2$) - 4 - 3 + 4$x^2$ = 0

Using the algebraic identity,

$(a-b)^{2} =a^{2} -2ab+b^{2}$

⇒ $(x-2)^2$ - 7 + 4$x^2$ = 0

⇒ $(x-2)^2$  = 7 - 4$x^2$

∴  5$x^2$ - 4x - 3 = 0 y completing square method = $(x-2)^2$  = 7 - 4$x^2$

Thus, 5$x^2$ - 4x - 3 = 0 y completing square method is equal to $(x-2)^2$  = 7 - 4$x^2$ .

Answer 2

Solve: 5x² - 4x - 3 = 0 by completing square method.