Question

solve the equation graphically x^+x-6​

Answer 1

Correct question :

Solve the equation graphically : x² + x - 6

Answer:

The graph is in attachment .

Explanation:

We need to find the x-intercept and y-intercept .

For this we need to factor the equation .

Then try to find the value of y by putting x=0 in the equation .

In the y-axis , x is always  0 .

Since our given equation is x² + x - 6 = 0

⇒ x² + 3 x - 2 x - 6 = 0

⇒ x ( x + 3 ) - 2 ( x + 3 ) = 0

⇒ ( x - 2 )( x + 3 ) = 0

⇒ Either x = 2 or x = - 3

The x-intercepts will be 2 and - 3 .

Now calculating the y-intercept will require us to put 0 as x in the equation .

y = 0² + 0 - 6

⇒ y = - 6

Thus y-intercept is - 6.