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6. Find m if sum and product of the roots of the following equations is equal to a given number \lambda .(ii) 4 x^{2}-(3+5 m) x-(9 m-17)=0

Solve the following equations.4. \sqrt{3 x+100}-x=4

4. Solve by using synthetic division if(ii) 3 is the root of the equation 2 x^{3}-3 x^{2}-11 x+6=0

1. Write the following ratic equations in the standard form and point out pure ratic equations.(vi) \frac{x+1}{x+2}+\frac{x+2}{x+3}=\frac{25}{12}

Q.33 Roots of ratic equation a x^{2}+b x+c=0 are imaginary and unequal if :(a) b^{2}-4 a c=0 (b) b^{2}-4 a c>0 (c) b^{2}-4 a c<0 (d) b^{2}-4 a c \geq 0

Q.13 Roots of ratic equation 2 x^{2}+3 x+1=0 are :(a) \frac{1}{2}-1 (b) -\frac{1}{2} 1 (c) -\frac{1}{2}-1 (d) 1-1 Faisalabad Board 2013

Q.42 If the sum of the roots of the equation a x^{2}-2 x+2 a=0 is equal to their product then the value of a is :(a) 1(b) 2(c) 3(d) 4