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471. If α, β are the zeroes of quadratic polynomial x² – px + q, find the value of α² + β².

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472. If α, β are the zeroes of quadratic polynomial 6x² + 7x – 3, find the value of α² + β².

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473. If α, β are the zeroes of quadratic polynomial x² – 2x – 1, find the value of α² β+ α.β².

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474. If α, β are the zeroes of quadratic polynomial 2x² - 6x + 3, find the value of

open parentheses straight alpha over straight beta plus straight beta over straight alpha close parentheses plus 3 open parentheses 1 over straight alpha plus 1 over straight beta close parentheses plus 2 αβ.

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475. If α, β are the roots of quadratic polynomial 2x² - 4x + 1, find the value of

fraction numerator 1 over denominator straight alpha plus 2 straight beta end fraction plus fraction numerator 1 over denominator straight beta plus 2 straight alpha end fraction.

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476. If α, β are the roots of quadratic polynomial x² – 5x + 4, find the value of

space 1 over straight alpha plus 1 over straight beta minus 2 αβ.

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477. If α, β are the roots of quadratic polynomial 5y² –7y + 10, find the value of

space space open parentheses 1 over straight alpha plus 1 over straight beta close parentheses.

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478. Find a quadratic polynomial whose sum of zeroes and product of zeroes are given below:

square root of 2 comma space fraction numerator 1 over denominator square root of 2 end fraction

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479. Find a quadratic polynomial whose sum of zeroes and product of zeroes are given below:

1 third comma space minus 4

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480. Find a quadratic polynomial whose sum of zeroes and product of zeroes are given below:

square root of 2 plus 1 end root comma space fraction numerator 1 over denominator square root of 2 minus 1 end fraction

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