book Maths Puzzle Numerical Ability

Compute the value of the discriminant and give the number of real solutions to the quadratic equation:

3x^2 - 7x + 9 = 0

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book Other Question

i need some one to give the steps one by one for this problem.

f(x)=2x^2-x^4+5x^2-x if f(x)=3

i'm using the synthetic substituion of polynomials
solve each equation for x using factoring. please show work.

x2-4x+1=13

x2+2x+48=15x

5x2+7=52

3x2=4-11x

2x3+4x=6x2

2x2-4=7x