Prove that the equation \( x^{2}+p x-1=0 \) has real and distinct roots for all real values of \...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=ePx64DUDAqE



Duration: 2:39
2 views
0


Prove that the equation \( x^{2}+p x-1=0 \) has real and distinct roots for all real values of \( p \).
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-11-19The weight of a body at the centre of the earth is (a) zero (b) infinite (c) same as on the surf...
2022-11-19Intensity of the gravitational field inside the solid sphere is (a) variable (proportional to di...
2022-11-19For what value of \( k,(4-k) x^{2}+2(k+2) x+(8 k+1) \), is a perfect square.
2022-11-19If the roots of the equation \( a x^{2}+2 c x+b=0 \) are real and distinct, then show that the r...
2022-11-19If the roots of the equation \( x^{2}-8 x+m(m-6)=0 \) are real and distinct, then find all possi...
2022-11-19If the roots of the equation \( a(b-c) x^{2}+b(c-a) x+c(a-b)=0 \) are equal, show that \[ \frac{...
2022-11-19Show that the roots of the equation \( x^{2}-2\left(m+\frac{1}{m}\right) x+3=0 \) are real for a...
2022-11-19Show that the roots of the equation \( (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 \) where \( a, b, c \i...
2022-11-19If \( a, b, c \in \mathbf{Q} \) and \( a+b+c=0 \), show that roots of the equation \( a x^{2}+b ...
2022-11-19If \( a, b, c, d \in \mathbf{R} \) show that the roots of the equation \[ \left(a^{2}+c^{2}\righ...
2022-11-19Prove that the equation \( x^{2}+p x-1=0 \) has real and distinct roots for all real values of \...
2022-11-19Discuss the nature of roots of the following equations : \[ (x-a)(x-b)=a b \text {. } \] It is g...
2022-11-19Find \( m \) so that roots of the equation \( (4+m) x^{2}+(m+1) x+1=0 \) may be equal.
2022-11-19Solve the following equations: \[ \sqrt{3 x^{2}-7 x-30}-\sqrt{2 x^{2}-7 x-5}=x-5 \]
2022-11-19Discuss the nature of roots of the following equations: \[ x^{2}-(p+1) x+p=0 \] It is given that...
2022-11-19Show that roots of the equation \( (x-a)(x-b)=a b x^{2} ; a, b \in \mathbf{R} \) are always real...
2022-11-19Discuss the nature of roots of the following equations : \[ \sqrt{3} x^{2}-2 x-\sqrt{3}=0 \] It ...
2022-11-19Solve the following equations : \[ 12 x^{4}-56 x^{3}+89 x^{2}-56 x+12=0 . \]
2022-11-19Prove that the roots of the equation \( x^{2}-2 a x+a^{2}-b^{2}-c^{2}=0 \) are always real, \( a...
2022-11-19Find the nature of roots of the following equations without solving them: \[ 4 x^{2}-24 x+35=0 \]
2022-11-19Solve \( \left(x^{2}+2\right)^{2}+8 x^{2}=6 x\left(x^{2}+2\right) \)



Tags:
pw