find x for 3x²+5x-7 from quadratic formula
Answers
Answer:
2.573
Step-by-step explanation:
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = 5
C = -7
Accordingly, B2 - 4AC =
25 - (-84) =
109
Applying the quadratic formula :
-5 ± √ 109
x = ——————
6
√ 109 , rounded to 4 decimal digits, is 10.4403
So now we are looking at:
x = ( -5 ± 10.440 ) / 6
Two real solutions:
x =(-5+√109)/6= 0.907
or:
x =(-5-√109)/6=-2.573
Answer:
Hey mate! Here is ur answer...
Step-by-step explanation:
3x^2+5x-7 = 0
On comparing the given equation with ax^2+bx+c = 0, we get :
a = 3
b = 5
c = -7
Discriminant (D) = b^2-4ac
= 5^2-4×3×(-7)
= 25+84
= 109
X = (-b +- √D)/2a
= (-5 +- √109)/2×3
= (-5 +- √109)/6
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