Question

50 points for both in total

Which of the following is one of the roots of the quadratic equation 2b2 - 2a2 = 8y2 - 8ay?

For which value of `a` polynomial (x - 4)^2 + (2a - 373)^2 will have equal zeroes?


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Answer 1

Answer:

$A Quadratic Equation have equal roots, so, let the root be a.</p><p></p><p>Then the sum of roots = a+a = 2a = -k</p><p></p><p>And the product of roots = a × a = a² = k</p><p></p><p>Therefore, -2-2a = a²</p><p></p><p>Thus a= -2</p><p></p><p>So, when a= -2, k=4</p><p></p><p>Hence if the value of k = 4, then the equation ( x² + kx + k ) will have equal roots.</p><p></p><p>$

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