Q53 of 134 Page 4


Determine whether the given quadratic equation has root(s). If so, find theroot(s). y 2– 4y –1 = 0.


a = 1, b = –4 and c = –1
Δ = b 2 – 4ac

= (–4) 2 – 4(1)(–1)

= 16 + 4

= 20
Therefore the quadratic equation has real roots.


β= 2 + √5
Therefore the roots are 2–√5 and 2 +√5.

More from this chapter

All 134 →
51
Using factorization, find the roots of the quadratic equation:https://gs-post-images.s3.amazonaws.com/user_files/63094/15042/images/extra-4_files/Image1190.gif =https://gs-post-images.s3.amazonaws.com/user_files/63094/15042/images/extra-4_files/1%2520BY%25206.gif ,x ≠ 3,  – 5
52
Using factorization, find the roots of the quadratic equation:https://gs-post-images.s3.amazonaws.com/user_files/63094/15042/images/extra-4_files/Image1192.gif = 3,(x ≠ 1,  – 2).
54
Determine whether the given quadratic equation has root(s). If so, findthe root(s). y 2– 6y+2=0.
 55
Determine whether the given quadratic equation has root(s). If so, findthe root(s). y 2+ 8y + 4 = 0.