Use the quadratic formula to find both solutions to the quadratic equation given below 3x^2-x+6=0

Mathematics

2 answers:

Mrac [35]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

Choice E and F

Discussion:

From the quadratic formula with a = 3, b = -1, and c = 6

x = ( -b +\- sqrt(b^2 - 4ac) ) / (2a) => substitute in a,b,c from above

x = ( -(-1) +\- sqrt((-1)^2 - 4(3)(6)) / (2*3) => discriminant = 1 - 72 = -71)

x = ( 1 +\- sqrt(-71))/ 6

which are choices E and F

Thank you,

MrB

grandymaker [24]3 years ago

6 0

Answer:

Choices E and F are the answers.

Step-by-step explanation:

We have given a quadratic equation.

3x²-x+6 = 0

We have to solve given equation by quadratic formula.

x = (-b±√b²-4ac) / 2a is quadratic formula to solve this.

In given equation, a = 3 , b = -1 and c = 6

Putting the values of a, b and c in above formula, we have

x = (-(-1)±√(-1)²-4(3)(6) ) / 2(3)

x = (1±√1-72) / 6

x = (1±√-71) / 6

x = 1+√-71) / 6 and x = 1-√-71 / 6

Hence, the solutions are choices E and F.

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6. Write an equation of a line that is Parallel to the line: y = 3x -3

jeka94

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

Slope Intercept Form :-

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$