Analyze equation 1, x=5-3x. This is not a quadratic equation because it does not contain a term with
x
2
x
2
2 Analyze equation 2,
x
+
1.5
x
2
+
9
x
4
=
0
x+1.5x
2
+9x
4
=0. This is not a quadratic equation because it contains a term with
x
4
x
4
, which is not allowed in a quadratic equation
3 Analyze equation 3,
8
x
+
2
+
5
x
2
=
4
8x+2+5x
2
=4. Rearrange the equation to get
5
x
2
+
8
x
−
2
=
0
5x
2
+8x−2=0. This is a quadratic equation because it is in the form
a
x
2
+
b
x
+
c
=
0
ax
2
+bx+c=0
4 Analyze equation 4,
4
x
2
+
13
x
−
4
x
2
=
3
4x
2
+13x−4x
2
=3. Simplify the equation to get 13x-3=0. This is not a quadratic equation because it does not contain a term with
x
2
x
2
5 Analyze equation 5,
8
x
3
+
6
=
3
−
4
x
2
8x
3
+6=3−4x
2
. Rearrange the equation to get
8
x
3
+
4
x
2
+
3
=
0
8x
3
+4x
2
+3=0. This is not a quadratic equation because it is a cubic equation, not a quadratic equation.
Therefore, the equations are:
1. Not quadratic
2. Not quadratic
3. Quadratic
4. Not quadratic
5. Not quadratic
