QUADRATIC EQUATIONS : . QUADRATIC EQUATIONS An equation with one variable, in which the highest power of the variable is two, is known as Quadratic Equation
Slide 2 : where a,b and c are real numbers and E.g: Every Quadratic Equation gives 2 values of the unknown variable and these values are called the roots of the equation
Slide 3 : Zero product rule
Slide 4 : Solving QUADRATIC EQUATION by factorisation
Solve: (1)
Slide 5 : Solve:
Slide 6 : Find the quadratic equation whose solution set is
Solution set =
Slide 7 : Solve Put 3y+1=x y =-1,or y =-1/15
Slide 8 : Without solving 3x2-2x-1=0, find whether x=1 is a solution of this equation or not.
Put x=1 in the given equation 3x2-2x-1=0,
3(1)2-2(1)-1=0
3-2-1=0, which is true.
x=1 is a solution of the given equation.
Without solving x2-x+1=0,find whether x=-1 is a root of the equation or not.
Put x=-1 in the given equation we get
(-1)2-(-1)+1=0
i.e 1+1+1=0, which is not true.
x=-1 is not a solution of the given equation.
Slide 9 : If x=2 & x=3 are roots of the equation 3x2-2mx+2n=0; find the value of m & n.
Since x=2 is a root
3(2)2-2m(2)+2n=0
Since x=3 is a root
3(3)2-2m(3)+2n=0
Solving (1) & (2) we get
m=7.5 & n=9
Slide 10 : If one root of the quadratic equation 2x2+ax-6=0 is 2;find the value of 'a'. Also find the other root.
Since x=2 is a root
2(2)2+2a-6=0
i.e.8+2a-6=0
i.e. a=-1
Put a=-1 in the given equation,
2x2-x-6=0
The other root is -3/2