131k views
3 votes
Solve the equation by completing the square. Round to the nearest hundredth if necessary.

x^2+3x-5=0

1.66, 2.69

1.05, –4.05

1.19, –4.19

–8.75, 5.75

User Vapcguy
by
3.3k points

1 Answer

3 votes

Answer:

1•19,-4•19

Explanation:

x²+3x-5=0

x²+3x=0+5

x²+3x/2=5

x²+(3x/2)²=5+9/2

√(x+3/2)²=19/2

x=19/2-3/2,19/2+3/2

x=1.19,-4.19