Question

Draw an equation whose roots are five times the roots of x² + 5x + 6 = 0.

Answer 1

x2 + 5x + 6 = 0

step 2 Substitute a , b and c values in below formula

x =- b ± √b² - 4ac

2a

=-(5) ± √(52 - 4 (1) (6))

2(1)

=-5± √25 - 4 (1)(6)

2

=-5± √25 - 24

2

=-5± √1

2

step 3 Solve the above expression for minus & plus values

x1 =-5 + √1

2

=-5 + 1

2

x2 =-5 - √1

2

=-5 - 1

2

step 4 By simplifying the above expressions for x1 & x2

x1 =-4

2

x1 = -2

x2 =-6

2

x2 = -3

x1 = -2 & x2 = -3 are the roots for equation x2 + 5x + 6 = 0