Question

find K if the roots of the quadratic equation X square + kx + 40 is equal to zero are in the ratio 2 is to 5​

Answer 1

xsquare+kx+40=0

5square+5x+40=0

65+5k=0

5k=-65

k=-13

2square+2k+40=0

44+2k=0

2k=-44

k=-22