Answer:
x =(1-√61)/6=-1.135
x =(1+√61)/6= 1.468
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3x2 - x) - 5 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 3x2-x-5
The first term is, 3x2 its coefficient is 3 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 3 • -5 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -1 .
-15
+
1
=
-14
-5
+
3
=
-2
-3
+
5
=
2
-1
+
15
=
14Two solutions were found :
x =(1-√61)/6=-1.135
x =(1+√61)/6= 1.468
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(3x2 - x) - 5 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 3x2-x-5
The first term is, 3x2 its coefficient is 3 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 3 • -5 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -1 .
-15
+
1
=
-14
-5
+
3
=
-2
-3
+
5
=
2
-1
+
15
=
14
Explanation: