Question

use the discriminant to find all values of b for which the equation has one real solution.
x^2-bx+4=0 use the discriminant to find all values of b for which the equation has one real solution.
x^2-bx+4=0 @Mathematics

Answer 1

equation has one real solution only when discriminant is 0

D=b^2-4ac=b^2-4*1*4=b^2-16

b^2-16=0
(b-4)(b+4)=0

b-4=0
b=-4

or,

b+4=0
b=-4


so, b=4 and b=-4