Question

How many and what type of solutions does the following polynomial have?

6x^2-2x+7=0
a) 1 rational solution
b) 2 non-real solutions
c) 2 irrational solutions
d) 2 rational solutions

Answer 1

★ Quadratic Equation ★

The solution of polynomial having is in imaginary set of numbers


`f(x) = ax {}^(2) + bx + c \\`
a > 0 , and D < 0

f(x) > 0 ∀ x ∈ R
Hence , the function will be positive always for any real values of x

Aslike it Will'nt touch the x axis hence it's hasn't got any real solution available


IT has 2 non real solutions