If \( c0 \) and \( 2 a x^{2}+3 b x+5 c=0 \) does not have any real roots, then prove that \( 2 a... VIDEO
If \( c0 \) and \( 2 a x^{2}+3 b x+5 c=0 \) does not have any real roots, then prove that \( 2 a-3 b+5 c0 \).https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 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... 2023-07-03 If \( c0 \) and \( 2 a x^{2}+3 b x+5 c=0 \) does not have any real roots, then prove that \( 2 a... 2023-07-03 If \( a x^{2}+b x+6=0 \) does not have distinct real roots, then find the least value of \( 3 a+... 2023-07-03 The minimum number of real roots of \( \left(x^{2}+3 x+a\right)\left(x^{2}+a x\right. \) \( +1)=... 2023-07-03 Find two numbers such that their sum is 9 , and the sum of their fourth powers 2417 . 2023-07-03 If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^{3}-p x^{2}+r=0 \), find the e... 2023-07-03 Find two positive numbers such that their sum multiplied by the sum of their squares is 5500 , a... 2023-07-03 Let \( \alpha \) and \( \beta \) two real roots of the equation \( (k+1) \tan ^{2} x \) \( -\sqr... 2023-07-03 Solve: \( \sqrt[3]{6(5 x+6)}-\sqrt[3]{5(6 x-11)}=1 \) 2023-07-03 Solve for \( x: x^{\frac{1}{3}}+(2 x-3)^{\frac{1}{3}}=\{12(x-1)\}^{\frac{1}{3}} \) 2023-07-03 If the equations \( p x^{2}+q x+r=0 \) and \( r x^{2}+q x+p=0 \) \( (p \neq r \neq 0) \) have a ... 2023-07-03 If \( \alpha, \beta, \gamma, \delta \in R \) satisfy \( \frac{(\alpha+1)^{2}+(\beta+1)^{2}+(\gam...
0