Math, asked by harsh962428, 1 year ago

from the figure alongside find x

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Answered by 22072003

In ∆ ABC, DE || BC

Applying $Basic Proportionality Theorem ( BPT )$

AD / BD = AE / EC

( 4x - 3 ) / ( 3x - 1 ) = ( 8x - 7 ) ( 5x - 1 )

Cross - Multiplication

( 4x - 3 ) ( 5x - 1 ) = ( 8x - 7 ) ( 3x - 1 )

4x ( 5x - 1 ) - 3 ( 5x - 1 ) = 8x ( 3x - 1 ) - 7 ( 3x - 1 )

20x² - 4x - 15x + 3 = 24x² - 8x - 21x + 7

20x² - 19x + 3 = 24x² - 29x + 7

24x² - 20x² - 29x + 19x + 7 - 3 = 0

4x² - 10x + 4 = 0

2 ( 2x² - 5x + 2 ) = 0

2x² - 5x + 2 = 0/2

2x² - 5x + 2 = 0

Using $Middle Term Factorisation$

2x² - 4x - x + 2 = 0

2x ( x - 2 ) - 1 ( x - 2 ) = 0

( 2x - 1 ) ( x - 2 ) = 0

Using $Zero Product Rule$

2x - 1 = 0 and x - 2 = 0

x = 1/2 and x = 2

$x = 1/2, 2$

22072003: I already the method, U first check my answer step-by-step, if there is any mistake, then tell me.

22072003: I already check the method*

harsh962428: i think answer sheet is wrong wait i check it

22072003: I am saying that you check my answer step-by-step.

harsh962428: yeah wait i check it

harsh962428: check you cross multiply

harsh962428: i have doubt

22072003: It seems correct to me.

harsh962428: you answer is correct to me.. because..mai samjh gaya

harsh962428: thanks

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