4
The discriminant, for what it is worth in an example such as this, is 11.
4 squared is 4 x 4 which equals 16.
4
89
4
The discriminant, for what it is worth in an example such as this, is 11.
Because when collated together the discriminant of b2-4ac = -32 i.e. 144-(4*2*22) = -32 In order for the parabolas to make contact with each other the discriminant must equal zero or be above zero.
The greatness of 4 squared and 3 squared is expressed by the equation: 16 - 9 which equals 7.3 squared equals 3 x 3 = 94 squared equals 4 x 4 = 1616 - 9 = 7
4 squared is 4 x 4 which equals 16.
-(2)Squared = 4
equation 1: y = x-4 => y2 = x2-8x+16 when both sides are squared equation 2: x2+y2 = 8 Substitute equation 1 into equation 2: x2+x2-8x+16 = 8 => 2x2-8x+8 = 0 If the discriminant of the above quadratic equation is zero then this is proof that the line is tangent to the curve: The discriminant: b2-4ac = (-8)2-4*2*8 = 0 Therefore the discriminant is equal to zero thus proving that the line is tangent to the curve.
It has no solutions because the discriminant is less than zero.
4
89
The discriminant of x^2 + 6 - 16 = discriminant of x^2 - 10 is 40.
Equations: y = x+4 and x^2 +y^2 -8x +4y = 30 The given equations will finally form a quadratic equation such as: x^2 +2x +1 = 0 Discriminant: 2^2 -4*(1*1) = 0 meaning there are equal roots Because the discriminant has equal roots the line is a tangent to the circle In fact the line makes contact with the circle at (-1, 3) on the Cartesian plane