Question

find the roots by factorisation:2x^2+5/3x-2=0
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Answer 1

Answer:

x = 2/3 and x = -3/2

Step-by-step explanation:

2x^2 + 5/3x - 2 = 0

multiply this equation by 3. so we get

6x^2 + 5x - 6 = 0

now by splitting the middle term( i.e. factorisation)

6x^2 + 9x - 4x - 6 = 0

3x( 2x + 3) - 2(2x + 3) = 0

(3x - 2) ( 2x + 3)

so, x = +2/3 and x = -3/2