Answer:
x=
4
4−
40
=1−
2
1
10
=−0.581
4+
=1+
=2.581
Step-by-step explanation:
STEP
:
Equation at the end of step 1
(2x2 - 4x) - 3 = 0
Trying to factor by splitting the middle term
2.1 Factoring 2x2-4x-3
The first term is, 2x2 its coefficient is 2 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -4 .
-6 + 1 = -5
-3 + 2 = -1
-2 + 3 = 1
-1 + 6 = 5
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
2x2 - 4x - 3 = 0
3
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = 2x2-4x-3
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Answers & Comments
Answer:
x=
4
4−
40
=1−
2
1
10
=−0.581
x=
4
4+
40
=1+
2
1
10
=2.581
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(2x2 - 4x) - 3 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2-4x-3
The first term is, 2x2 its coefficient is 2 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -4 .
-6 + 1 = -5
-3 + 2 = -1
-2 + 3 = 1
-1 + 6 = 5
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
2
:
2x2 - 4x - 3 = 0
STEP
3
:
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = 2x2-4x-3