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F(x) = 3x ^ 2 + 2x + 10

User Granit
by
5.2k points

2 Answers

0 votes

Answer:

No x-intercept (zero)

f(0)=10

Explanation:

User Srikanth Josyula
by
4.7k points
3 votes
No x- intercept/Zero

Step-by-step
F(x) = 3x^2 + 2x + 10
To find x-intercept/zero, Substitute
F(x) = 0
0 = 3x^2 + 2x + 10
Swap the side of the equation
3x^2 + 2x + 10 = 0
Solve the quadratic equation
ax^2 +b+c = 0
X= -b+ b^2 -4 a c/ 2a
X= -2+ 2^2 -4 x 3 x 10/2x3
X= -2+ 4-4 x 3 x 10/ 2 x 3
-> x=-2+ 4-120/2 x 3 -> x=-2 4-120/6
X=-2+ -116/6
-> calculate the difference
X= -2+ -116/6
The square root of a negative
number dose not exit in the set of
Real numbers
No x-intercept/zero
User Daya Sharma
by
4.8k points