Question

find d zeroa of quad polynomial nd verify realtionship b/w zeros and coefficent of poly
1)2x*2-8x+6
2)3x*2-2+5x

Answer 1

2 trainzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer 2

1) condition for zeroes
2x² -8x+6 = 0
=> x²-4x+3 = 0
=> x²-3x-x+3 = 0
=> x(x-3) - 1(x-3) = 0
=> (x-1) (x-3) = 0
=> x=1 ,x=3

sum of zeroes = -b/a
=> 1+3 = -(-8)/2
=> 4 = 4
LHS = RHS

product of zeroes = c/a
1×3 = 6/2
=> 3= 3
LHS =RHS

2) 3x²+5x -2= 0
=> 3x²+6x-x - 2 =0
=>3x(x+2)-1(x+2) =0
=> (3x-1)(x+2)= 0
=>x= 1/3 , x=-2

sum of zeroes= -b/a
1/3+ (-2) = -(5)/3
-5/3 = -5/3
LHS = RHS

product of zeroes = c/a
1/3×(-2) = -2/ 3
=> -2/3 = -2/3
LHS = RHS