Question

Where does the graph of y = 6x2 + 5x − 6 cross the x-axis?

(−1/6, 0) and (6, 0)

(1/6, 0) and (−6, 0)

(2/3, 0) and (−3/2, 0)

(−2/3, 0) and (3/2, 0)

Answer 1

0 = 6x2 + 5x − 6

Answer 2

Hint: The \(\mathsf{x-intercept}\).

Answer 3

And then I am too lazy to solve it for you. Give it a try.

Answer 4

they 6x2 is 6x^2

Answer 5

the*

Answer 6

Yep.

Answer 7

parth i cant believe u

Answer 8

Partkohli is correct, you are looking for the x intercepts, also known as roots or solutions

Answer 9

if it is factorable, you can factor it to solve it.
you can always use the quadratic formula to find the solutions as well (it works 100% of the time)
you can also, look at the graph to determine the solutions.
Many ways to do this problem

Answer 10

\[0 = ax^2 + bx +c\]\[\Rightarrow\qquad x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]

\[0 = 6x^2 + 5x − 6\]\[\Rightarrow\qquad x=\frac{-(5)\pm\sqrt{(5)^2-4\times(6)\times(-6)}}{2\times(6)}\]

Answer 11

ok thanks i can solve that

Answer 12

to get from
\[y= 6x^2 + 5x − 6\]to
\[0 = 6x^2 + 5x − 6\]
i have used the fact that the \(x\)-intercept is when y=0