Question

Using the quadratic equation , find the roots using quadratic formula.Simplify your answer.
1. x² -4x -5 = 0

2. 2x² + x -6 = 0



Plss show me the solution

Answer 1

Answer:

1)5 & -1

2)3/2 & -2

Step-by-step explanation:

1) x²-4x-5 = 0

a=1 b=-4 c=-5

according to quadratic formula,

x = -b±√(b²-4ac) / 2a

x = -(-4)±√[(-4)²-(4×1×-5)] / 2(1)

x = 4±√[16-(-20)] / 2

x = 4±√(16+20) /2

x = 4±√36 / 2

x = (4±6)/2

x = (4+6)/2 (or) (4-6)/2

x = 10/2 (or) -2/2

x = 5 (or) -1

2) 2x²+x-6 = 0

a=2 b=1 c=-6

according to quadratic formula,

x = -b±√(b²-4ac) / 2a

x = -1±√[(1)²-(4×2×-6)] /2(2)

x = -1±√[1-(-48)] /4

x = [-1±√(1+48)]/4

x = (-1±√49)/4

x = (-1±7)/4

x = (-1+7)/4 (or) (-1-7)/4

x = 6/4 (or) -8/4

x = 3/2 (or) -2