the expression 2x^2+3x-5 is negative if x lies between:-
a)-5/2 and 1
b)-5/2 and -1
c) 1 and 2
d) 5/2 and 2
Answers
Answered by
56
Solution :
It is given that the express 2x² + 3x - 5 is negative .
We have to find the range in which x lies such that this holds.
→ 2x² + 3x - 5 < 0
→ 2x² + 5x - 2x - 5 < 0
→ x( 2x + 5) - 1( 2x + 5) < 0
→ ( x - 1)( 2x - 5 ) < 0
The point's where the graphs nature changes lie on the roots of the equation that is x = 1 and x = 5/2
Plotting using the wavy curve method , we can observe that for the graph to be negative , the graph lies between x € ( -5/2, 1) .
This is the required answer .
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Answered by
0
Answer:
b. -5/2 and -1
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