find the discriminant of 2X2 -5x+3=0 and write the nature of roots and find roots if exist
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Answer:
x=3/2 or 1
Step-by-step explanation:
Given 2x^2 - 5x + 3 = 0. This is of the form ax^2 + bx + c = 0 where a= 2, b = -5 and c= 3
Given equation can be written as 2x^2 - 5x = - 3
Multiply both sides by 4a i.e., by 8
16 x^2 - 40x = - 24
Add b^2 = 25 to both sides
16x^2 - 40x + 25 = -24 +25
(4x)^2 - 2.4x .5 + 5^2 = 1
(4x - 5)^2 = 1
4x - 5 = +1 or 4x - 5 = -1
4x= 6 or 4x = 4
x = 3/2 or 1
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