does 7x-x+7=3x(x-4+20) have a solution

Answer 1

Simplify the expression

7x-x+7 = 3x(x-4+20)

6x+7 =3x(x+16)

6x+7=3x²+48x

3x²+42x-7 = 0

check discriminant b²-4ac = (42)²-4*3*(-7) to see how many solutions exist.

Answer 2

Question: does 7x-x+7=3x(x-4+20) have a solution

Simplify the expression.

6x + 7 = 3x^2 -12x + 60x

Since there is an x-squared, the equation is a quadratic. Move all terms to one side and set the equation equal to 0. Combine the like terms.

-3x^2 + 6x + 12x - 60x + 7 = 0

-3x^2 - 42x + 7 = 0

3x^2 + 42x -7 = 0

Use the coefficients for each term to check for the solution(s).

a = 3, b = 42, and c = -7

Since you only want to know if there is a solution, use the discrimanant. It is the expression under the square root in the quadratic formula.

b^2 - 4•a•c

42^2 - 4 • 3 • (-7)

Answer: Yes