Question

u^2-6u=-13 write your answer integers, proper, or improper, in simplest form or decimal rounded to the nearest hundredth

Answer 1

To solve the given equation u^2-6u=-13, we can rearrange it into a quadratic equation in standard form and use the quadratic formula to find the roots.

Step-by-step explanation:

To solve the given equation u^2-6u=-13, we can rearrange it into a quadratic equation in standard form:

u^2 - 6u + 13 = 0

Using the quadratic formula, we can find the roots of the equation:

u = (-b±√(b^2-4ac))/(2a)

Plugging in the values a=1, b=-6, and c=13 into the formula, we get:

u = (-(-6)±√((-6)^2-4(1)(13)))/(2(1))

Simplifying further, we get:

u = (6±√((-6)^2-4(1)(13)))/2

u = (6±√(36-52))/2

u = (6±√(-16))/2

Since the discriminant (√(-16)) is negative, there are no real solutions. The equation has no solution in real numbers.