Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0.
(a) One real root (a double root),
(b) Two distinct real roots,
(c) Three real roots,
(d) None (two imaginary roots)
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Answer:
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Step-by-step explanation:
=> Discriminant = b2 – 4ac
=> Compare the above equation 7x2 + 3x + 1 =0 with ax2 + bx + c = 0
=> We get, a = 7, b = 3, c = 1
=> Put the value of a, b and c;
=> Discriminant = b2 – 4ac
=> Discriminant = (3)2 - 4 × 7 × 1
= 9 – 28
= -19 [13 < 0]
Therefore, discriminant is negative.
So the given equation has none (two imaginary roots).
Answer: (d)
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1
Answer:
Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0.
(a) One real root (a double root),✔✔
(b) Two distinct real roots,
(c) Three real roots,
(d) None (two imaginary roots)
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