Question

Find the roots of the following quadratic equations, if they exist, using the
quadratic formula:
(i) 3x² – 5x + 2 = 0
(ii) x² + 4x + 5 = 0
iii) 2x² – 2 √2 x + 1 = 0

Answer 1

Answer:

Step-by-step explanation:

quadratic formula for roots=-b+/-sqrt(b^2-4ac)/2a

i) 3x^2-5x+2=0

b=-5

a=3

c=2

b^2-4ac=25-4*3*2=25-24=1

x1=5+1/6=1

x2=5-1/6=4/6=2/3

ii) x^2+4x+5=0

b=4

a=1

c=5

b^2-4ac=16-2=-4 no roots exist

iii)  2x^2-2sqrt(2)x+1=0

b=2sqrt(2)

a=2

c=1

b^2-4ac=8-8=0

roots must be equal

x=2sqrt(2)/2*2=sqrt(2) /2

Answer 2

Answer:

here are the answers of this question.