by using quadratic formula solve 2x^2-16x+23=0
Answers
Answer:
Step by step solution :
STEP
1
:
Equation at the end of step 1
(2x2 - 16x) + 23 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2-16x+23
The first term is, 2x2 its coefficient is 2 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is +23
Step-1 : Multiply the coefficient of the first term by the constant 2 • 23 = 46
Step-2 : Find two factors of 46 whose sum equals the coefficient of the middle term, which is -16 .
-46 + -1 = -47
-23 + -2 = -25
-2 + -23 = -25
-1 + -46 = -47
1 + 46 = 47
2 + 23 = 25
23 + 2 = 25
46 + 1 = 47
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
2
:
2x2 - 16x + 23 = 0
Step-by-step explanation:
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