Find the roots of the quadratic equation 2x2+x-4=0 by using suitable formula.
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Answer:
x = -1 + √33 / 4 , -1 - √33 / 4
Step-by-step explanation:
2x² + x - 4 = 0
We have to use quadratic formula
Determinant ---- b² - 4ac
2x² + x - 4 = 0
a = 2 , b = 1 , c = -4
b² - 4ac = 1 - (4×2×-4)
= 1 + (4×2×4)
= 1 + 32
= 33
x = -b ± √b² - 4ac / 2a
= -1 ± √33 / 2×2
= -1 + √33 / 4 , -1 - √33 / 4
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