Write all the values of k for which the quadratic equation 2 X square + X - 3 is equal to zero has real roots
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> +8
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2x² + kx + 8 = 0 compare this
2x² + kx + 8 = 0 compare thisquadratic equation with ax²+bx +c = 0
a = 2 , b = k , c = 8
a = 2 , b = k , c = 8It is given that , the equation has real roots
SO, Discreaminant = D ≥ 0
=>b² - 4ac ≥ 0
=>k² - 4 × 2 × 8 ≥ 0
=>k² ≥ 64
=>k ≥ ± √64
=>k ≥ ± 8 #YOUR ANSWER
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