state whether the following quadratic equations have two distinct real roots justify your answer. root 2X^2 – (3/root 2) + 1

Question

state whether the following
quadratic equations have two distinct
real roots justify your answer.
root 2X^2 – (3/root 2) + 1/root 2=0
10th math​

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Melody 5 days 2021-09-13T16:20:55+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-13T16:21:57+00:00

    A quadratic equation, ax2 + bx + c = 0; a ≠ 0 will have two distinct real roots if its discriminant, D = b2 – 4ac > 0. Hence, the equation x2 –3x + 4 = 0 has no real roots. … Hence, the equation 3×2 – 4x + 1 = 0 has two distinct real roots.

    0
    2021-09-13T16:22:32+00:00

    Answer:

    = X1 = – ⁴√8/2 and X2 = ⁴√8/2 .

    Que : 2x²-3/√2+1/√2 = 0

    Solution :

    Rationalise the denominator

    = 2x²-3/√2+1/√2 = 0

    = 2x²-3√2/√2+1/√2 = 0

    = 2x²-3√2/2+√2/2 = 0

    = 2x²- √2 = 0

    = 2x² = √2

    = x² = √2/2

    = x = ± ⁴√8/2

    = X1 = – ⁴√8/2 and X2 = ⁴√8/2 .

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