Question

Q13. Insert the missing number:
(a) 10 + 14 / ? = 8 (b) 12 + 85 / ? = ?

Answer 1

10 +14/x!=8
=》14/x= -2
=》x=-7

12+85/x=x
=》12x+85=x^2
x^2-12x-85=0
after simplyfie
x=-5 or x=17
.....it is ur answer

Answer 2

Answer:

(a) The unknow value is -7 and expression becomes $10+\frac{-14}{7} = 8$ .

(b) The value of x is 17 and - 5 than the equation becomes

$12+\frac{85}{17} = 17$ for x = 17 and $12+\frac{85}{-5} = -5$ for x = -5 .

.

Step-by-step explanation:

Let us assume that the unknow value be x .

First Part

Expression given in the question is written as

$10+\frac{14}{x} = 8$

$\frac{14}{x} = 8-10$

$\frac{14}{x} = -2$

$\frac{14}{-2} = x$

-7 = x

Therefore the unknow value is -7 and expression becomes $\frac{10 + 14}{3} = 8$ .

Second Part

Expression given in the question is written as

$12+\frac{85}{x} = x$

$\frac{12x+85}{x} = x$

12x + 85 = x²

x² - 12x - 85 = 0

x² -17x + 5x - 85 = 0

x (x-17) + 5 (x-17) = 0

(x-17)(x+5) = 0

x = 17 , x =-5

Therefore the value of x is 17 and - 5 than the equation becomes

$12+\frac{85}{17} = 17$ for x = 17 and $12+\frac{85}{-5} = -5$ for x = -5 .