Question

if (4x-5):(3x+11)=13.17 find the value of x​

Answer 1

Answer:

Value of x = 2

Step-by-step explanation:

/ *If a:b = c:d then ad = bc */

Here,

(4x+5) : (3x+11) = 13 : 17

=> 17(4x+5) = (3x+11)13

=> 68x + 85 = 39x + 143

=> 68x - 39x = 143 - 85

=> 29x = 58

\implies x = \frac{58}{29}

\implies x = 2

Therefore,

Value of x = 2

Answer 2

Step-by-step explanation:

$4x(3x + 11) - 5(3x + 11) = 13.17$

$12x {}^{2} + 44x - 15x - 55 = 13.17$

$12x {}^{2} + 31x - 55 = 13.17$

$12x {}^{2} + 31x = 13.17 + 55$

$12x {}^{2} + 31x = 68.17$

$(12x + 31x) {}^{2} = 68.17$

$43x {}^{2} = 68.17$

$43x {}^{2} = \sqrt{68.17}$

$43x {}^{2} = 8.2565125809872$

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