Solve using the quadratic formula x^2 – 3x = 4x – 1?

Question

I am not sure how to solve this since there are 2 values on the right side of the equation. Please help. I was only shown how to do this with one value on the right side.

Answer 1

x² - 3x = 4x - 1

x² - 3x - 4x = 4x - 1 - 4x

x² - 7x = - 1

x² - 7x + 1 = -1 + 1

x² - 7x + 1 = 0

Quadratic Formula

x = - b ± √b² - 4ac / 2a

x² - 7x + 1 = 0

a = 1

b = - 7

c = 1

x = - (- 7) ± √(- 7)² - 4(1)(1) / 2(1)

x = 7 ± √ 49 - 4 / 2

x = 7 ± √45 / 2

x = 7 ± 6.708203933 / 2

- - - - - - - - -

Solving for +

x = 7 + 6.708203933 / 2

x = 13.70821093 / 2

X = 6.854101966

- - - - - - - - - -

Solving for -

X = 7 - 6.708202933 / 2

x = 0.291796068 / 2

x = 0.145898034

- - - - - - - - -s-

Answer 2

This question can be solved by bringing all your terms to the left hand side of the equation. This becomes:

x² - 7x + 1 = 0

Since the equation cannot be factorised, we must solve it using the general formula:

x = [-b ± √ (b² - 4ac) ] / 2a

The coefficient of x² is a, that of x is b, and c is -1.

Substituting these values into the equation:

x = [- (-7) ± √ { (-7)² - 4(1)(1) } ] / 2(1)

Simplifying this:

x = (7 ± √45) / 2
x = 0.146 (3sf) OR x = 6.85 (3sf)

There are 2 answers since this is a quadratic equation.

Answer 3

x^2 -3x = 4x -one million x^2 - 7x + one million = 0 (subtracting 4x and including one million to the two section) From right here, you could the two use the quadratic formulation simply by fact the equation isn't unquestionably factorable. x1 = [7 + sqrt(40 5)]/2 x2 = [7 - sqrt(40 5)]/2

Answer 4

Put it in 'standard' quadratic form
ax² + bx + c =0 by subtracting 4x - 1 from, noth sides to get
x² - 7x +1 = 0 Now solve it using the quadratic formula.

Doug

Answer 5

You can use simple algebra to solve this:

Move the 4x to the other side to form x^2 - 3x - 4x = -1

Now move the -1 to form x^2 - 3x - 4x + 1 = 0

Collect like terms to form x^2 - 7x + 1 = 0

Now you can solve it!

Answer 6

x^2 - 3x = 4x -1 <==> x^2 - 7x + 1 = 0, and a = 1, b = -7, c = 1 , so:
x_1,2 = [ -(-7) (+/-) sqrt((-7)^2 - 4*1*1) ]/2*1 = [ 7 (+/-) sqrt(45)]/2

So the solutions are [ 7 - sqrt(45)]/2 and [ 7 + sqrt(45)]/2

Regards
Tonio

Answer 7

This is by far the easiest equation i've ever seen, the answer is X^2-7X+1=0. that's bout it i think. laters.

Answer 8

x^2-7x+1=0
for ax^2+bx+c=0
x=[-b+-sqrt(b^2-4ac)]/2a
here a=1, b=-7, c=1
x=[7+-sqrt(49-4)]/2
x=[7+-3sqrt(5)]/2
x=(7+3sqrt 5)/2 & (7-3sqrt(5)/2

Answer 9

x² - 7x + 1 = 0
x = [ 7 ± √45] / 2
x = 6.85 , x = 0.145

Answer 10

x^2-3x=4x-1
x^2-7x+1=0
x=1/2[7+/-sqrt(49-4)]
=1/2[7+/-sqrt(45)] answer