Question

What are the solutions of the quadratic equation
4x2 - 30x + 45 = 0

Answer 1

Explanation:

note :

the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :

Δ = b² -4ac

1 ) Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a

2 ) Δ = 0 : one solution : x = -b/2a

3 ) Δ < 0 : no reals solutions

in this exercice : 4x²-30x+45=0

a= 4 b= -30 c=45

Δ = (-30)² - 4(4)(45) = 900 - 720 = 180.......continu