Question

Solve the equation -3x⁴ = 6*5x. What is the value of x?

1) x = -14
2) x = -1
3) x = 5
4) I don't know

Answer 1

To solve the equation -3x⁴ = 6*5x, we can rearrange it to make the left side equal to zero. Then, we can factor out a common factor of x and solve the resulting quadratic equation using the quadratic formula. The value of x is ± √10.

Step-by-step explanation:

We rearrange the equation -3x⁴ = 6*5x to make the left side equal to zero: -3x⁴ - 30x = 0.

Now, we can factor out a common factor of x: x(-3x³ - 30) = 0.

This equation has two possible solutions: x = 0 or -3x³ - 30 = 0.

To solve the quadratic equation -3x³ - 30 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a). In this case, a = -3, b = 0, and c = -30. Plugging in these values, we get:

x = (-0 ± √(0² - 4(-3)(-30))) / (2(-3))

= ± √(0 - 360) / -6

x x = ± √360 / -6

x = ± √(36 * 10) / -6

x = ± (√36 * √10) / -6

x = ± (6 * √10) / -6

Now, we simplify the expression:

x = ± √10

Therefore, the value of x is ± √10.