The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true?
x2 + x = 42
x2 + 2x = 42
x2 + x + 42 = 0
x2 + 2x + 42 = 0

The sum: "+"

a number: "x"

a square of a number: "x²"

x + x² = 42 → x² + x = 42

Step-by-step explanation:

Let

x------> the number

we know that

The algebraic expression that represent the situation is equal to

----> quadratic equation

using a graphing tool-----> to resolve the quadratic equation

see the attached figure

The solutions are

Verify each solution

For

substitute in the expression

-----> is true

For

substitute in the expression

-----> is true

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc