Question 105663
1) (2+X)SQUARED=49

{{{(2+x)^2 = 49}}} find square root on both sides

{{{sqrt((2+x)^2) = sqrt(49)}}}


{{{2+x = 7}}}

{{{x = 7-2}}}

{{{x = 5}}}


 2) {{{(X+2)(3X-4)=(X+5)(2X-5)}}}   multiply terms on both sides

{{{3x^2 - 4x + 6x - 8 = 2x^2 - 5x + 10x - 25}}}  add like terms on both sides


{{{3x^2 + 2x- 8 = 2x^2 + 5x - 25}}}  add {{{-2x^2}}} to both sides


{{{3x^2 - 2x^2 + 2x- 8 = 2x^2 - 2x^2 + 5x - 25}}} 

{{{x^2 + 2x - 8 = 5x - 25}}}  add {{{-5x}}} to both sides

{{{x^2 + 2x - 5x  - 8 = 5x - 5x  - 25}}}  

{{{x^2 - 3x- 8 = - 25}}}  add {{{+ 25}}} to both sides

{{{x^2 - 3x - 8 + 25 = - 25 +25}}}

{{{x^2 - 3x + 17 = 0}}}


*[invoke quadratic_formula 1, -3, 17, "x"]





 
 3)EQUATION IS RATIONAL....8XSQUARED=14X-3

{{{8x^2 = 14x - 3}}}

{{{8x^2 - 14x +3 = 0}}}

*[invoke quadratic_formula 8, -14, 3, "x"]

 4)S=SO+GTSQUARED+K FOR T WITH THE DENOMINATOR OF 0