Sagot :
Answer:
The roots of any quadratic equation is given by: x = [-b +/- sqrt(-b^2 - 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.
Step-by-step explanation:
do you mean by "find" right? not fing?
My Answer:
Solution :
x
= 3 + 2 √ 7 , x
= 3 − 2 √ 7
Explanation:
Comparing with general equation
a x 2+ b
= 0 x
2 − 6 x − 19 = 0
; = 1 , b
= − 6 , c
= − 19 . Discriminant D
= b 2 − 4 ⋅ a ⋅ c
= 36 + 76
= 112
is positive so roots are real.
Quadratic formula for finding roots is
x = − b 2 a ± √ b 2 − 4 a c 2 a or x
= − 6 2 ± √ 112 2 or x = 3 ± 4 ⋅ √ 7 2 or x
= 3 ± 2 ⋅ √ 7
=
Solution :
x = 3 + 2 √ 7 , x = 3 − 2
√ 7