Solve the quadratic equation x² - 3(x + 3) = 0; Give your answer correct two significant figures.

x² − 3(x + 3) = 0

x² − 3x − 9 = 0

Here: a = 1 b = −3 c = −9

Quadratic formula:

x = [−b ± √(b² − 4ac)]/(2a)

= [3 ± √{(−3)² − 4(1)(−9)}]/2

= [3 ± √45]/2

= [3 ± 3√5]/2

Using √5 ≈ 2.236:

x ≈ 4.854 or x ≈ −1.854

Correct to two significant figures:

Answer:

x = 4.9 or −1.9.

Expand the equation first and apply the quadratic formula. The final roots are rounded to two significant figures as requested.