Answer:
x=-7 x=4
Step-by-step explanation:
(x −2)(x + 5) = 18
Foil
x^2 +5x-2x-10 = 18
Combine like terms
x^2 +3x -10 =18
Subtract 18 from each side
x^2 +3x -28 = 0
Factor
What two numbers multiply to -28 and add to 3: 7 and -4
(x+7) (x-4) =0
Using the zero product property
x+7=0 x-4 =0
x=-7 x=4
7 times 8 is 56
9 times 10 is 90
Answer:
Inequality: x + 6 ≤ 24
Solution: x ≤ 18
Step-by-step explanation:
<u>Plus</u>: "+" → to <u>add</u> something to something else
<u>Less than or equal to</u>: "≤" → the expression on the left side of the inequality sign is <u>smaller</u> than the expression on the right side of the sign.
Let x be the unknown number.
A number plus 6 is less than or equal to twenty-four:
x + 6 ≤ 24
To solve the found inequality, subtract 6 from both sides:
⇒ x + 6 - 6 ≤ 24 - 6
⇒ x ≤ 18
Therefore, the solution to the inequality is x ≤ 18. The unknown number x can be <u>any real number equal to or less than 18</u>.
Answer:
Step-by-step explanation:
x^2-1=0
Add 1 to both sides of the equation.
x^2=
1
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
1
Any root of 1 is x
=
±
1
First, use the positive value of the ±
to find the first solution.
x=
1
Next, use the negative value of the ±
to find the second solution.
x
=
−
1
The complete solution is the result of both the positive and negative portions of the solution.
x
=
1
,
−
1