The roots of 2 x2-6 x-8-0 areA- real and distinctB- real and equalC- imaginary and unequalD- imaginary and equal

The correct option is C imaginary and unequalFor 2x^2 – 6x + 8 = 0, a = 2, b = 6 and c = 8. Then, nbsp;the nbsp;value of discriminant, D = b^2 – 4ac = ...

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Standard X

Mathematics

Nature of Roots

The roots of ...

Question

The roots of $2 x^{2} - 6 x + 8 = 0$ are ___________.

real and distinct

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real and equal

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imaginary and unequal

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imaginary and equal

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Solution

The correct option is C imaginary and unequal
For $2 x^{2} - 6 x + 8 = 0$ ,
a = 2, b = -6 and c = 8.
Then, the value of discriminant,
$D = b^{2} - 4 a c = (- 6)^{2} - (4 \times 2 \times 8) = 36 - 64 = - 28$

Since $D < 0$ , roots are imaginary and unequal.

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The roots of 2x2–6x+8=0 are ___________.

The correct option is C imaginary and unequalFor 2x2–6x+8=0, a = 2, b = -6 and c = 8. Then, the value of discriminant, D=b2–4ac =(−6)2–(4×2×8) =36−64 =−28 Since D<0, roots are imaginary and unequal.

The roots of $2 x^{2} - 6 x + 8 = 0$ are ___________.

The correct option is C imaginary and unequal
For $2 x^{2} - 6 x + 8 = 0$ ,
a = 2, b = -6 and c = 8.
Then, the value of discriminant,
$D = b^{2} - 4 a c = (- 6)^{2} - (4 \times 2 \times 8) = 36 - 64 = - 28$

Since $D < 0$ , roots are imaginary and unequal.