Question

name the discriminant, the number and nature of solutions and solve: 4x^2+x-6=0

Answer 1

discriminant is b^2-4ac
If you look at the graph of the quadratic function it tells you how many solutions you have.
If the function crosses the x axis twice - it has 2 real roots
If the function crosses the x axis once - it has 1 real root with multiplicity of 2
also known as a double root
If the function does not cross the x axis then the solution is no solution because in reality the solution is imaginary
Solve it by using the quadratic formula