Find all the values of \( a \) , so that exactly one root of the equation \( x^{2}-2 a x+a^{2}-... VIDEO
Find all the values of \( a \) , so that exactly one root of the equation \( x^{2}-2 a x+a^{2}-1=0 \), lies between the numbers 2 and 4 , and no root of the equation is either equal to 2 or equal to 4 .https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-07-03 \[
A=\left\{x: \frac{x+2}{x-4} \leq 0\right\}, B=\left\{x / x^{2}-a x-4 \leq 0\right\}
\]
If \( ... 2023-07-03 The number of real roots of equation \( x^{8}-x^{5}+x^{2}-x+2= \) 0 is (a) 2 (b) 4 (c) 6 (d) 0 2023-07-03 A value of \( b \) for which the equations
\[
\begin{array}{l}
x^{2}+b x-1=0 \\
x^{2}+x+b=0
\end... 2023-07-03 Let \( p \) and \( q \) be real numbers such that \( p=0, p^{3}=q \) and \( p^{3} \) \( =-q \). ... 2023-07-03 Let \( \left(x_{0}, y_{0}\right) \) be the solution of the following equations \( (2 x)^{\ln 2}=... 2023-07-03 Let \( \alpha, \beta \) be the roots of the equation \( x^{2}-p x+r=0 \) and \( \frac{\alpha}{2}... 2023-07-03 Let \( a, b, c \) be the sides of a triangle where \( a \neq b \neq c \) and \( \lambda \in R \)... 2023-07-03 Let \( f(x) \) be the remainder when \( p(x)=x^{73}-2 x^{6}+3 x^{3} \) is divided by \( x^{4}\le... 2023-07-03 \( \log _{0.3}(x-1)\log _{0.09}(x-1) \), then \( x \) lies in the interval-
(a) \( (2, \infty) \... 2023-07-03 If \( a^{2}+b^{2}+c^{2}=1 \), then \( a b+b c+c a \) lies in the interval
(a) \( \left[\frac{1}{... 2023-07-03 Find all the values of \( a \) , so that exactly one root of the equation \( x^{2}-2 a x+a^{2}-... 2023-07-03 When \( y^{2}+m y+2 \) is divided by \( (y-1) \) then the quotient is \( f(y) \) and the remaind... 2023-07-03 The value of \( k \) for which \( k x^{2}-2 k x+3 x-6 \) is positive for exactly two integral va... 2023-07-03 The equation \( x-\frac{2}{x-1}=1-\frac{2}{x-1} \) has
(a) no root
(b) one root
(c) two equal ro... 2023-07-03 Let the quadratic equation \( x^{2}+3 x-k=0 \) has roots \( a, b \) and \( x^{2}+3 x-10=0 \) has... 2023-07-03 Let \( P(x) \) be a polynomial whose coefficient are integer satisfies \( P(1)=5 \) and \( P(2)=... 2023-07-03 Given that \( \alpha, \beta, \gamma \) are the roots of cubic equation \( x^{3}=3 x^{2}+2 x+\fra... 2023-07-03 The number of order pairs of integers \( (x, y) \) satisfying the equation \( x^{2}+6 x+y^{2}=4 ... 2023-07-03 Let \( p \) and \( q \) be the two roots of the equation \( m x^{2}+x(2-m)+ \) \( 3=0 \). If \( ... 2023-07-03 Solve (i) \( \sqrt{4 x^{2}-7 x-15}-\sqrt{x^{2}-3 x}=\sqrt{x^{2}-9} \). 2023-07-03 Suppose that \( 2-\sqrt{95} \) is a root of \( x^{2}+a x+b=0 \) where \( b \) is negative real n...
0