Question

Solve the equation 6x²+ 7x – 3 = 0 by factorization.

Answer 1

Answer:

Explanation:

The quadratic formula states:

For ax2+bx+c=0, the values of x which are the solutions to the equation are given by:

x=−b±√b2−(4ac)2⋅a

Substituting:

6 for a

−7 for b

−3 for c gives:

x=−−7±√−72−(4⋅6⋅−3)2⋅6

x=7±√49−(−72)12

x=7±√49+7212

x=7±√12112

x=7±1112

x=7−1112; x=

Answer 2

Answer:

6x2 + 7x - 3 = 0

6x2 + 9x - 2x - 3 = 0

3x(2x + 3) - 1(2x + 3) = 0

(2x + 3)(3x - 1) = 0

2x + 3 = 0. or 3x - 1 = 0

2x = -3. or. 3x = 1

x = -3/2. or. x = 1/3