solve 6x^2 + 3= -11x by factorization method
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ANSWER:
- Value of x is -3/2 or -1/3.
GIVEN:
- 6x²+3 = -11x
TO FIND:
- Value of 'x'.
SOLUTION:
=> 6x²+11x+3 = 0
=> 6x²+9x+2x+3 = 0
=> (6x²+9x)+(2x+3) = 0
=> 3x(2x+3)+1(2x+3) = 0
=> (2x+3)(3x+1) = 0
Either (2x+3) = 0
=> 2x = -3
=> x = -3/2
Either (3x+1) = 0
=> 3x = -1
=> x = -1/3
Value of x is -3/2 or -1/3.
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
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