solve 2x²-5x-3=0
wsing fornuda method.
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hope this helps you.
2x^2 - 5x + 3 = 0
=> 2x^2/2 - 5x/2 + 3/2 = 0 (dividing both sides by 2)
=> x^2 - 5x/2 + 3/2 = 0
=> [x^2 - 5x/2 + (5/4)^2] - (5/4)^2 + 3/2 = 0
=> [x - 5/4]^2 - 25/16 + 3/2 = 0
=> [x - 5/4]^2 - (25-24/16) = 0
=> [x - 5/4]^2 - 1/16 = 0
=> [x - 5/4]^2 = 1/16
=> x - 5/4 = 1/4 (square rooting on both sides)
=> x = 1/4 + 5/4
=> x = (1+5/4)
=> x = 6/4
=> x = 3/2
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Answer:
I think the question is 2x²-5x+3=0
Step-by-step explanation:
2x² - 5x + 3 =0
2x² -2x - 3x + 3 =0
2x (x - 1) - 3 (x - 1) =0
(2x + 3) (x - 1) =0
2x + 3 =0 & x - 1 =0
2x = -3 & x = 1
x = -3/2 or 1
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