Question

Please help me ASAP!

Which of the following equations is quadratic?

( x + 3)( x + 4) = 5
5(4 x + 2) = 3
x( x∧2 + 1) = 0

Answer 1

`( x + 3)( x + 4) = 5`

Explanation:

First of all: What is a quadratic equation?

A quadratic equation is a second-degree polynomial. It means that the highest exponent must be 2.

`( x + 3)( x + 4) = 5`

Using FOIL

`x^2+4x+3x+12=5`

`x^2+7x+7=0`

We got the answer. But just expanding the other equations given:

`5(4 x + 2) = 3`

`20x+10=3`

`20x+7=0`

This one is a linear equation

In this case, actually there's a typo mistake, but it still understandable.

The symbol used is the logical symbol meaning AND (∧)

Of course, you meant
`x^2`

`x(x^2+1)=0`

`x^3+x=0`

This one is a cubic equation or third-degree polynomial

Answer 2

( x + 3)( x + 4) = 5

Explanation:

A quadratic equation is an equation with the highest power of the variable to the power of 2

( x + 3)( x + 4) = 5

The highest power is x^2 +3x+4x+12 =5 is x^2

Quadratic

5(4 x + 2) = 3

20x + 10 =3

linear

x( x∧2 + 1) = 0

x^3 +x =0

Cubic