X squared minus9X +18 equals zero

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

x^2-9x+18=0

So I'm gonna solve it as if you need to find the x values

So 18 is positive and 9 is negative, so we have to find 2 values that multiply to +18 but add to a -9

Which is negative 3 and negative 6. double - = +

(x-3) (x-6)

x intercepts ---> x= 3 x= 6

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We are given with a circle and we need to find the equation of the circle , but first let's recall that , the equation of a circle with radius 'r' and centre at (h,k) is given by ${\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}$

Now , here as as the circle cuts the +ve x-axis at (9,0) . So , it's radius is 9 units or the 2nd way is to measure the distance from centre of the circle to the point where the circle cuts the graph , as the centre is at Origin , so here (h,k) = (0,0) .Which means that the centre is located at the point whose coordinates are (0,0) which is also known as origin . Now , finding the equation of the circle :-