Question

(2x+1)(3x+1)=35 using quandratic equation solve​

Answer 1

x = {-2 5/6, +2}

Explanation:

To use the quadratic formula, it is helpful to write the equation in standard form.

(2x +1)(3x +1) = 35

6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34

The quadratic formula tells you the values of x are ...

`x=(-b\pm√(b^2-4ac))/(2a)=(-5\pm√(5^2-4(6)(-34)))/(2(6))\\\\=(-5\pm√(841))/(12)=(-5\pm29)/(12)\\\\\boxed{x=\left\{-(17)/(6),2\right\}}`