Question

2. Find the roots of 25x^2 - 30x-10=0 by
method of completing the square.

Answer 1

Answer:

the roots are (√19+3)/5 and (3-√19) /5

Step-by-step explanation:

25x²-30x-10= 0

(25x²-30x-10) /25 = 0

x²-(30/25)x-(10/25) =0

x²-(6/5)x-(2/5) = 0

x²-(6/5)x = 2/5

adding (3/5)² on both sides

x²-(6/5)x+(3/5)² = 2/5+(3/5)²

x²-[2(1)(3/5)]+(3/5)² = (2/5)+(9/25)

[x-(3/5)]² = 19/25

x-(3/5) = √19/√25

x-(3/5) = +√19/5 or -√19/5

x = (√19/5) +(3/5) or (-√19/5) +(3/5)

x = (√19+3) /5 or (3-√19) /5

Answer 2

Answer:

hope the Attachment helps!