Question

2
State whether the quadratic equation (x + 4)2 - x = 0 has two distinct real roots. Justify you
answer
The difference between the two angles x and y is 30​

Answer 1

Answer:

Since −5 is a root of the equation 2x  

2

+px−15=0. Therefore,

2(−5)  

2

−5p−15=0⇒p=7

Putting p=7 in p(x  

2

+x)+k=0 we get

7x  

2

+7x+k=0

Here ,a=7,b=7;c=k

This equation will have equal roots, if

Discriminant =b  

2

−4ac=0 ⇒49−4×7×k=0⇒k=  

28

49

​  

⇒k=  

4

7