Verified Answer :

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions?


–5

Answer:

The correct option is 1.

Step-by-step explanation:

The given quadratic equation is

\(x^2+bx+5=0\)

A quadratic equation \(ax^2+bx+c=0\) have to real solution if the value of discriminant is garter than 0.

\(b^2-4ac>0\)

\(b^2-4(1)(5)>0\)

\(b^2-20>0\)

Add 20 on both the sides.

\(b^2>20\)

It is possible if

\(b<-\sqrt{20}, b>\sqrt{20}\)

\(b<-4.472, b>4.472\)

Since -5<-.4.472, therefore option 1 is correct.