Answer:
x = -4/3 or x = 5/2
Step-by-step explanation:
given 6x² - 7x = 20
There are several ways to solve this, we'll choose to use the quadratic formula:
Recall that for a quadratic equation ax² + bx + c = 0
x = [ -b±√(b²-4ac) ] / 2a
in our case, if we rearrange the equation, we will get:
6x² - 7x -20 = 0
comparing this with the general form of the quadratic equation above, we can see that
a = 6, b = -7 and c = -20
substituting these into the equation:
x = [ -b±√(b²-4ac) ] / 2a
x = { -(-7)±√[(-7)²-4(6)(-20)] } / 2(6)
x = -4/3 or x = 5/2
