The quadratic equation 6x^2 - x -5 =0, in factored form is, choose the correct answer from the following.
a) (6x +5) (2x -3) =0
b) (6x +5) (x -1) =0
c) (3x -5) (2x +3) =0
d) (3x - 5) (2x -3) =0
Which results in the solutions x, choose the correct answer.
a) 5
b) -5
c) -6/5
d) 5/3
and x =, choose the correct answer
a) -3/2
b) 3
c) -3
d) 1
To factor the quadratic equation 6x^2 - x - 5 = 0, we need to find two binomials whose product is equal to the quadratic equation.
By factoring, (6x + 5)(x - 1) = 0, and this gives us the factored form of the quadratic equation.
Therefore, the correct answer for the factored form is b) (6x + 5)(x - 1) = 0.
To find the solutions for x, we need to set each factor equal to zero and solve for x.
Setting 6x + 5 = 0, we get x = -5/6.
Setting x - 1 = 0, we get x = 1.
Therefore, the correct answer for the solutions x are a) -5/6 and b) 1.
To find the value of x, we need to look at the options and plug in the values we found for x.
For x = -5/6, none of the options match this value.
For x = 1, option b) -3 is the correct answer.
Therefore, the correct answer for x is b) 3.