Determine the number of real solutions for each of the given equations. equation number of solutions y = -3x2 + x + 12 y = 2x2 - 6x + 5 y = x2 + 7x - 11 y = -x2 - 8x - 16 r

Step-by-step explanation:

Our equations are

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

Where

a= the coefficient of the

b= the coefficient of

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

Hence we have two real roots for this equation.

Hence we do not have any real root for this quadratic

Hence D>0 and thus we have two real roots for this equation.

Hence we have one real root to this quadratic equation.

3; 9 is 8 to -4

step-by-step explanation: