Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
<h3>
The remainder is 5</h3>
How many times does 6 go into 18? The answer is 3 since 3*6 = 18. So 30*6 = 180. This means the number 6 goes into 185 a total of 30 times to have 5 left over.
Another way to think of it: If you had 185 cookies and 6 friends, then each friend gets 30 cookies. They will eat 30*6 = 180 cookies overall and there will be 185-180 = 5 left over.
The answer is -3^15
You start with the brackets and (3^2x3^3) =3^5. Now we have -(3^5) ^3. Because the is one expoente out of the brackets and one in you multiple the exponent (3x5=15) and you distribute the negative sign you get -3^15. Hope this helps!
The expression 2x⁴ + 5x³ - 8x - 20 can be express as follows;
x³(2x + 5) - 4(2x + 5)
<h3>How to factorise an expression?</h3>
2x⁴ + 5x³ - 8x - 20
Therefore,
2x⁴ + 5x³ - 8x - 20
x³(2x + 5) - 4(2x + 5)
Hence, the expression 2x⁴ + 5x³ - 8x - 20 can be express as follows:
2x⁴ + 5x³ - 8x - 20 = x³(2x + 5) - 4(2x + 5)
learn more on expression here: brainly.com/question/26228081
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Answer: 0.02
Explanation: the absolute value of anything is the distance between the given number and zero.