Question

please solve this equation, (x-3)(32-x)=210​

Answer 1

Answer:

125 i think

Step-by-step explanation:

Answer 2

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

Explanation:

$= > (x - 3)(32 - x) = 210$

$= > x(32 - x) - 3(32 - x) = 210$

$= > 32x - {x}^{2} - 96 + 3x = 210$

$= > 35x - {x}^{2} - 96 - 210 = 0$

$= > - {x}^{2} + 35x - 306 = 0$

$= > {x}^{2} - 35x + 306 = 0$

Now,it is in the form of a quadratic equation so we factorise it further by middle term splitting method.

Step 1:Think of a number whose addition and subtraction and product makes the number in the middle say 35.

Step :Now write that number in the middle as split instead of 35.

step3:now taking common and find roots.

$= > {x}^{2} - 18x - 17x + 306 = 0$

$= > x(x - 18) - 17(x - 18) = 0$

$= > (x - 17)(x - 18) = 0$

$x - 17 = 0$

$\bold{\gray{\sf{x = 17}}}$

$x - 18 = 0$

$\bold{\gray{\sf{x = 18}}}$

Hence,x=17& x=18