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प्रश्न
Find the zeroes of the quadratic polynomial f(x) = 6x2 – 3.
Write the zeros of the quadratic polynomial f(x) = 6x2 – 3.
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उत्तर
To find the zeroes of the quadratic polynomial we will equate f(x) to 0
∴ f(x) = 0
⇒ 6x2 – 3 = 0
⇒ 3(2x2 – 1) = 0
⇒ 2x2 – 1 = 0
⇒ 2x2 = 1
⇒ `x^2 = 1/2`
⇒ `x = +- 1/sqrt(2)`
Hence, the zeroes of the quadratic polynomial f(x) = 6x2 – 3 are `1/sqrt(2), -1/sqrt(2)`.
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