If the squared difference of the zeroes of the quadratic polynomial x2+kx+30 is equal to 169 find the value of k and the zeroes

ANSWER

Or

EXPLANATION

The given polynomial is

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

and the product of roots is

The square difference of the zeroes is given by the expression.

From the question, this difference is 169.

This implies that:

We substitute the values of k into the equation and solve for x.

The zeroes are given by;

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

its an acute right triangle

step-by-step explanation: