graph and find 3 decimal approximation of all real solutions of for y-min 0.5x3-

Question

graph and find 3 decimal approximation of all real solutions of for y-min 0.5x3-3x=5x2-10

Explanation / Answer

0.5x^3 - 3x - 5x^2 + 10 = 0 x^3 - 10x^2 - 6x + 20 = 0 f(x) = x^3 - 10x^2 - 6x + 20 = 0 note f(1) = 5 > 0, f(2) = -12 < 0 so there's a root in (1, 2) f(1.5) = -4.06 < 0 so there's a root in (1, 1.5) f(1.2) = 0.064 > 0 so there's a root in (1.2, 1.5) f(1.3) = -1.25 < 0 so there's a root in (1.2, 1.3) f(1.25) = -0.586 < 0 so there's a root in (1.2, 1.25) f(1.22) = -0.194 so there's a root in (1.2, 1.22) f(1.21) = -0.06472 so there's a root in (1.2, 1.21) f(1.205) = -0.00028 so there's a root in (1.2, 1.205) f(1.203) = 0.025 so there's a root in (1.203, 1.205) f(1.204) = 0.0126 so there's a root in (1.204, 1.205) ANSWER: x = 1.205

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.