Two solutions were found :
1 x =(11-√265)/8=-0.660
2 x =(11+√265)/8= 3.410
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22x2 - 11x) - 9 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4x2-11x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -11 .
-36
+
1
=
-35
-18
+
2
=
-16
-12
+
3
=
-9
-9
+
4
=
-5
-6
+
6
=
0
-4
+
9
=
5
-3
+
12
=
9
-2
+
18
=
16
-1
+
36
=
35