Solve the quadratic equation 2x² – 7x + 3 = 0 by using quadratic formula.
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2x² - 7x + 3 = 0
On comparing the given equation with ax² + bx + c = 0,
We get,
- a = 2
- b = -7
- c = 3
By using quadratic formula, we get,
x = [-b ± √(b² – 4ac)]/2a
⇒ x = [7 ± √(49 – 24)]/4
⇒ x = [7 ± √25]/4
⇒ x = [7 ± 5]/4
Therefore:
⇒ x = 7 + 5/4 or x = 7 - 5/4
⇒ x = 12/4 or 2/4
∴ x = 3 or ½
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