Which of the following statements are true about the equation below? x^2-6x+2=0 ( 1 ) the graph of the quadratic equation has a minimum value. ( 2 ) the extreme value is at the point (3,-7). ( 3 ) the extreme value is at the point (7,-3). ( 4 ) the solutions are x = -3 + or - the square root of 7 . ( 5 ) the solutions arex = 3 + or - the square root of 7. ( 6 ) the graph of the quadratic equation has a maximum value.

Option 1, 2, 5 are the correct answer.

Explanation:

 We have the quadratic equation,

 First derivative of the equation is given by 2x - 6 = 0

               So x = 3

At x = 3 the value of quadratic equation is extreme, corresponding y is given by , So extreme value is at (3,-7)

Second derivative of the quadratic equation is given by 2 ( positive value)

 Second derivative is positive so graph of equation has a minimum value.

Now root of the equation is given by

                                             or

Option 1, 2, 5 are the correct answer.              

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explanation: