Question

If arithmetic mean of two numbers a and b is 8 and ab=9 find a quadratic equation whose roots are a and b

Answer 1

Answer:

${x}^{2} - 8x + 9$

Step-by-step explanation:

$Given, \\ a + b = 8 \: \: and \: \: ab = 9 \\ we \: \: know \: \: that \\ General \: \: form \: \: of \: \: quadratic \: \: equation \\ \boxed{ {x}^{2} - ( \alpha + \beta )x + \alpha \beta } \\ {x}^{2} - 8x + 9$