Question

solve by factorization 9x2-144/25=0​

Answer 1

Answer:

9x^2-(12/5)^2

it is of the form a^2-b^2

equal to(a+b)(a-b)

there fore it is(9x+12/5)(9x-12/5)

Answer 2

ANSWER:

• Value of x are (-4/5) or (4/5)

GIVEN:

• 9x²-144/25

TO FIND:

• Factorise the above expression.

SOLUTION:

=> 9x²-144/25 = 0

=> (3x)²-(12/5)² = 0

=> (3x+12/5)(3x-12/5) = 0

Either (3x+12/5) = 0

=> 3x = -12/5

=> x = (-12/5)*(1/3)

=> x = -4/5

.Either (3x-12/5) = 0

=> 3x = 12/5

=> x = (12/5)*(1/3)

=> x = 4/5

Value of x are (-4/5) or (4/5)

NOTE:

Some important formulas:

(a+b)² = a²+b²+2ab

(a-b)² = a²+b²-2ab

(a+b)(a-b) = a²-b²

(a+b)³ = a³+b³+3ab(a+b)

(a-b)³ = a³-b³-3ab(a-b)

a³+b³ = (a+b)(a²+b²-ab)

a³-b³ = (a-b)(a²+b²+ab)

(a+b)² = (a-b)²+4ab

(a-b)² = (a+b)²-4ab