Question

(x_6)(x_7)=(x+3)(x_11)​

Answer 1

Answer:

$\bold\red{x=15}$

Step-by-step explanation:

Given,

$( x- 6)(x - 7) = (x + 3)(x - 11) \\ \\ = > {x}^{2} - 7x - 6x + 42 = {x}^{2} - 11x + 3x - 33 \\ \\ = > {x}^{2} - {x}^{2} - 13x + 8x + 42 + 33 = 0 \\ \\ = > - 5x + 75 = 0 \\ \\ = > 5x = 75 \\ \\ = > x = \frac{75}{5} \\ \\ = > x = 15$

Hence,

$\bold{x=15}$

Answer 2

$\huge\star{\tt{\underline{\underline{\blue{Question}}}}}\star$

(x - 6)(x - 7)=(x + 3)(x - 11)

$\huge\star{\tt{\underline{\underline{\red{Answer}}}}}\star$

$\implies$ x²-6x-7x+42 = x² -11x +3x - 33

$\implies$ -6x - 7x +11 x -3x = -33-42

$\implies$ -13x+8x= -75

$\implies$ -5x=-75

$\implies$ x= $\frac{75}{5}$

= $\large{\boxed{\boxed{15}}}$