GIVING BRAINLIEST
12 added to the square of a number is equal to 11 times the number,
minus 18. What is the number? (There are two solutions.)
a. 12 + x = 11x − 18, 3 or 5 c. 7 + x2 = 7x − 5, 4 or 5
b. 7 + x2 = 7x − 5, 6 or 7 d. 12 + x2 = 11x − 18, 5 or 6

d. 12 + x^2 = 11x - 18, 5 or 6

Step-by-step explanation:

Let the number be x

12 + x^2 = 11x - 18

Rearrange the equation

x^2 + 12 - 11x + 18 = 0

x^2 - 11x + 12 + 18 = 0

x^2 - 11x + 30 = 0

Factorise

(x - 5)(x - 6) = 0

x - 5 = 0 Or x - 6 = 0

x = 5 Or x = 6

d) ,   or

Step-by-step explanation:

Let the number be ''.

According to the given statement, the equation is:

Solving the equation:

Factorizing the equation for the value of ''

Taking common from the equation to make the factors of the equation and equating it to zero.

x=5 Or x=6

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.