Question

find the nature of quadratic equation x²+2√5x -1=0
those answer only who knows Pls...... ​

Answer 1

Answer:

Real and equal roots

Step-by-step explanation :

\begin{gathered}Given \ quadratic \ equation, \\x^{2} -2\sqrt{5}x+5=0 \\\\ it \ is \ of \ the \ form \ ax^2+bx+c=0 \\a=1,b=-2\sqrt{5},c=5 \\\\ \boxed{Discriminant,D=b^2-4ac } \\\\ D=(-2\sqrt{5})^2-4(1)(5) \\ D=4(5)-20\\D=20-20\\D=0 \\\\ \implies \text{It has real and equal roots}\end{gathered}

Given quadratic equation,

x

2

−2

5

x+5=0

it is of the form ax

2

+bx+c=0

a=1,b=−2

5

,c=5

Discriminant,D=b

2

−4ac

D=(−2

5

)

2

−4(1)(5)

D=4(5)−20

D=20−20

D=0

⟹It has real and equal roots

----------------------------------------------

NATURE OF ROOTS :

If D < 0 ; no real roots

If D = 0 ; real and equal roots

If D > 0 ; real and unequal roots

Answer 2

Answer:

Real and equal roots

Step-by-step explanaton

NATURE OF ROOTS :

If D < 0 ; no real roots

If D = 0 ; real and equal roots

If D > 0 ; real and unequal roots