what value of x will make DEllAB in the given figure
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Step-by-step explanation:
In the figure, DE is parallel to AB,
So by, Basic Proportionality theorm,
AD/DC = BE/EC
(8x+9)/(x+3) = (3x+4)/x
=> (8x+9)x = (3x+4)(x+3)
=> 8x²+9x = 3x²+13x+12
=> 5x²-4x-12 = 0
=> 5x²-10x+6x-12 = 0
=> 5x(x-2) + 6(x-2) = 0
=> (5x+6)(x-2) = 0
x = -6/5 or 2
as length of a line can't be negative
x = 2
*HOPE THIS MIGHT HAVE HELPED YOU. THIS QUESTION IS OF NCERT CLASS 10TH . YOU CAN UNDERSTAND THE CONCEPT OF BASIC PROPORTIONALITY THEORM FROM THE BOOK OR INTERNET . IF YOU WOULD CONSIDER, THEN PLS MARK MY ANSWER AS BRAINLIEST *
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