Problemas
Find the x-intercepts for the parabola whose equation is given.If the x-intercepts are irrational, round your answers to the nearest tenth. y=-x^2+17x-72 A. (-8,0) and (-9,0) ) B. (8,0) and (9,0) C. (8,0) and (-9,0) D. There are no x-intercepts.
Roztwór
Felipe
professionell · Tutor durante 6 años
4.5
(343 Votos)
Respuesta
To find the x-intercepts of the parabola, we need to set y equal to 0 and solve for x.
We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we will use the quadratic formula:
where a, b, and c are the coefficients of the quadratic equation. In our case, a = -1, b = 17, and c = -72.
So, the x-intercepts are:
Therefore, the correct answer is B.
and
.