Question

5x²-3x-4=0
factorisation method​

Answer 1

Answer:

5x²-3x-4=0

5(x²+3/5x)-4=0

5(x²+3/5x+9/100-9/100)-4=0

x²+3/5x+9/100=(x+3/10)²

5[(x+3/10)²-9/100]-4=0

(x+3/10)²-9/100=4/5

(x+3/10)²=4/5+9/100

(x+3/10)²=80+9/100

(x+3/10)²=89/100

square root on both sides

√(x+3/10)²=√89/100

x+3/10=±√89/100

x=-3/10±√89/10

The roots are x1=-3/10+√89/10

x2=-3/10-√89/10

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