Step-by-step explanation:
rational
Step-by-step explanation:
The discriminant (d) of a quadratic equation ax^2 + bx + c = 0ax
2
+bx+c=0 is:
\boxed{\mathrm{d =} \ b^2 - 4ac}
d= b
2
−4ac
.
If:
• d > 0, then there are two real solutions
• d = 0, then there is a repeated real solution
• d < 0, then there is no real solution.
In this question, we are given the quadratic equation 3x^2 + 4x - 2 = 03x
2
+4x−2=0 . Therefore, the discriminant of the equation is:
b² - 4ac = (4)² - 4(3)(-2)
= 16 - (-24)rational
Step-by-step explanation:
The discriminant (d) of a quadratic equation ax^2 + bx + c = 0ax
2
+bx+c=0 is:
\boxed{\mathrm{d =} \ b^2 - 4ac}
d= b
2
−4ac
.
If:
• d > 0, then there are two real solutions
• d = 0, then there is a repeated real solution
• d < 0, then there is no real solution.
In this question, we are given the quadratic equation 3x^2 + 4x - 2 = 03x
2
+4x−2=0 . Therefore, the discriminant of the equation is:
b² - 4ac = (4)² - 4(3)(-2)
= 16 - (-24)
= 40
Since the discriminant, 40, is greater than zero, the quadratic equation has 2 rational solutions.
= 40
Since the discriminant, 40, is greater than zero, the quadratic equation has 2 rational solutions.