Answer:
The two solutions are:
p = 30 and p = -30
Step-by-step explanation:
Given the equation
[tex]5x^2\:-\:px\:+45\:=\:0[/tex]
- We know that the quadratic equation ax²+bx+c=0 will have equal roots if its discriminant b²-4ac = 0
For the given quadratic equation
[tex]5x^2\:-\:px\:+45\:=\:0[/tex]
a=5, b=-p, c=45
b²-4ac = 0
(-p)² - 4(5)(45)=0
p²-900=0
p² = 900
p = ± 30
The two solutions are:
p = 30 and p = -30
