Question

Find the zeroes of the quadratic polynomial 9x2

-5 and verify the relationship

between the zeroes and coefficients.​

Answer 1

Answer:

$p(x) = 9x {}^{2} - 5 \: \: \\ for \: zeros \: p(x) = 0\\ 9x {}^{2} - 5 = 0 \\ 9x {}^{2} = 5 \\ x {}^{2} = \frac{5}{9} \\ x = \sqrt{ \frac{5}{9} } = \frac{ \sqrt{5} }{3}$