Find the values of y for which the equation y $x^{2} + y x + 1 = 0$ has real roots.

( - , 0 ] [ 4 , )

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

( - , 0 ) ( 4 , )

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(-,0) [4 ,)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(-,0] (4,)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
( - , 0 ] [ 4 , )

$△$ $\geq$ 0

$\Rightarrow$ $y^{2} - 4 y$ $\geq$ 0

y (y- 4) $\geq$ 0

y $\in$ (- $\infty$ ,0] $\cup$ [4, $\infty$ )

Suggest Corrections

Similar questions

Find the value of k for which the quadratic equation $x^{2} - 4 x + k = 0$ has real and equal roots.

Find the value of $k$ for which $x^{2} - 4 x + k = 0$ has coincident roots.

The condition for the equation $x^{2} + b x + c = 0$ to have real roots is ____.

Q. The equation

x^{2} + b x + c = 0

would have real roots if ____.

Question 10
Which of the following equations has no real roots?
(A) $x^{2} - 4 x + 3 \sqrt{2} = 0$
(B) $x^{2} + 4 x - 3 \sqrt{2} = 0$
(C) $x^{2} - 4 x - 3 \sqrt{2} = 0$
(D) $3 x^{2} - 4 \sqrt{3} x + 4 = 0$

Join BYJU'S Learning Program

Find the values of y for which the equation yx2+yx+1=0 has real roots.

The correct option is A ( - , 0 ] [ 4 , ) △ ≥ 0 ⇒ y2−4y ≥ 0 y (y- 4) ≥ 0 y ∈ (-∞ ,0] ∪ [4,∞)

Find the values of y for which the equation y $x^{2} + y x + 1 = 0$ has real roots.

The correct option is A
( - , 0 ] [ 4 , )

$△$ $\geq$ 0

$\Rightarrow$ $y^{2} - 4 y$ $\geq$ 0

y (y- 4) $\geq$ 0

y $\in$ (- $\infty$ ,0] $\cup$ [4, $\infty$ )