Question

Translate this problem to an equation and solve.
If a number is subtracted from its square, the result is 2. Find the number.

Answer 1

this can be done like this
let the number be x
so
as the condition says
the number 'x' subtracted from its square ' x^2 ' gives two
so, we get the equation
(x^2)-x=2
then , we get
(x^2)-x-2=0
then by solving the quadratic equation, you get the answer as
x=2 or -1
so the answer is that x is 2 or -1
hope this helps you

Answer 2

yes thanks for the help always gratful

Answer 3

you're welcome and thanks for the medal:)

Answer 4

Translate this problem to an equation and solve.
The length of a rectangle is 8 inches greater than its width. Find the width of the rectangle if its area is 105 square inches.

Answer 5

your welcome

Answer 6

just a sec

Answer 7

i'm goin out for a minute please wait

Answer 8

i'm back

Answer 9

k

Answer 10

let the width be w
so according to this problem,
the length is 8 inches more than the width so
its length=w+8
and its area is given 105 inc.sqr.
we know that area is
(length)(width) which is given 105
so
(w+8)(w)=105
so we get the equation as
(w^2)+8w-105=0
so by solving this equation, we get w=15 or -10
any side cannot have its measure as a negative value
so we take the width=w=15 and thus, the length=w+8=23inches
:)

Answer 11

ok thanks

Answer 12

Translate this problem to an equation and solve.
Twelve more than the square of a number is seven times the number. Find the number.

Answer 13

thanks for becoming my fan

Answer 14

okay now as we proceed in every question, we'll do the same here
so let the number be x
this question says that 12 more than the square of this number 'x^2' is 7 times the number 'x'
so we get the equation
12(x^2)=7x
dividing both the sides by x, we get
12x=7
so x=7/12
remember that if you cancel an x on botht the sides by division, you should even get the value of x as 0 if you dont believe, you can even put 0 in the place of x in the equation here and you'll get 0=0

Answer 15

thanks for the medal@bibbi

Answer 16

your welcome