Which of the following equations is quadratic?
2 answers:
Answer:
The quadratic equation is (x + 3)(x + 4) = 5
Step-by-step explanation:
If the degree of a polynomial is two then the polynomial is known as a quadratic.
Now, in the given equations we see which polynomial has a degree 2.
Simplify the first equation
Degree is 3 and hence it is not a quadratic.
Take 2nd equation
Degree is 1 and hence it is not a quadratic.
Finally, we simplify the third equation
Apply FOIL method to simplify the left hand side
Degree is 2 and hence it is a quadratic equation.
You might be interested in
MO = 12 and PR = 3
Solution:
Given .
Perimeter of ΔMNO = 48
Perimeter of ΔPQR = 12
MO = 12x and PR = x + 2
<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.</em>
Do cross multiplication.
Subtract 48x from both sides.
Divide by 96 on both sides, we get
⇒ 1 = x
⇒ x = 1
Substitute x = 1 in MO an PR.
MO = 12(1) = 12
PR = 1 + 2 = 3
Therefore MO = 12 and PR = 3.