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how many and what type of solutions does the equation have 17+3x^2=6x
a. no real solution
b. one real solution
c. two rational solutions
d. two irrational solutions

Option D: Two irrational solutions

Explanation:

The equation is

Subtracting 6x from both sides, we have,

Solving the equation using quadratic formula,

Simplifying the expression, we get,

Taking out the common terms and simplifying, we have,

Dividing by 3, we get,

Hence, the equation has two irrational solutions.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11