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Find the roots of the following quadratic equations by factorization method
a) 3x^2+ 5root5x + 10 =0 b) 6 x^2 – x -2 = 0 ; x not equal to 0
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Step-by-step explanation:
a) 3x^2 + 5√5x + 10 = 0
3x^2 + 3√5x + 2√5 X + 10 = 0
3x( X+√5) +2√5( X+ √5) = 0
( X+√5)(3x+2√5) = 0
put ( X+√5) = 0
X = -√5
now put (3x+2√5) = 0
3x= -2√5
X = -2√5/3
b) 6x^2-x-2 =0
6x^2-4x+3x-2 = 0
2x( 3x-2) +1 (3x-2) = 0
( 2x+1)(3x-2) = 0
2x+1 = 0
2x= -1
X=-1/2
now
3x-2 = 0
3x = 2
X = 2/3
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