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प्रश्न
If b2 – 4ac > 0 and b2 – 4ac < 0, then write the nature of roots of the quadratic equation for each given case.
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उत्तर
If b2 – 4ac > 0, then the roots are real and unequal.
If b2 – 4ac < 0, then the roots are not real.
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Solution :
Compare x2 + 2x – 9 = 0 with ax2 + bx + c = 0
a = 1, b = 2, c = `square`
∴ b2 – 4ac = (2)2 – 4 × `square` × `square`
Δ = 4 + `square` = 40
∴ b2 – 4ac > 0
∴ The roots of the equation are real and unequal.
If 4 is a root of equation x2 + kx – 4 = 0; the value of k is ______.
