Question

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find the value of.α^-1 + β^-1 if α and β are zeros of polynomial 2x2-5x+7​

Answer 1

2x² - 5x + 7

a and ß are the zeroes of the polynomial.

$\mathfrak\blue{sum\:of\:the\:zeroes}$

• - cofficient of x/cofficient of x²
• 5/2

$\mathfrak\pink{product\:of\:the\:zeroes}$

• constant term / cofficient of x²
• 7/2

$\huge\mathfrak\red{solution\::-}$

• α^-1 + β^-1
• 1/a + 1/b
• b + a/ab
• 5/2 ÷ 7/2
• 5/2 × 2/7
• 5/7

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