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4 votes
In the equation, what is the value of x? −4(x+4x)=2(2−x)

a) -79/7
b) -97/9
c) 79/7
d) 97/9

2 Answers

6 votes

Answer:

-(2/9)

This is not included in the answer options. Please check the equation for accuracy.

Step-by-step explanation:

−4(x+4x)=2(2−x)

−4(5x)=2(2−x)

−20x = 4 − 2x

-18x = 4

x = -(4/18) or -(2/9)

User Sachinr
by
8.0k points
4 votes

Final answer:

The value of x in the equation is approximately -79/7 or 97/9.

Step-by-step explanation:

This expression is a quadratic equation of the form ax² + bx + c = 0, where the constants are a = 4.90, b = 14.3, and c = -20.0. Its solutions are given by the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we get:

x = (-14.3 ± √(14.3² - 4(4.90)(-20.0))) / (2(4.90))

After simplifying the equation, we find that the solutions are:

x ≈ -79/7 or 97/9.

User Rakeeb Rajbhandari
by
7.7k points