Answer:x= -4 and -6
Step-by-step explanation:
To solve the equation x²+10x+24=0, we need to factorize. Factorizing this using the general formula,
x = -b+/-√b²-4ac/2a
Generally, quadratic equation are of the form ax²+bx+c=0
Comparing the coefficients;
a= 1, b=10 and c=24
Substituting this into the general formula,
x = -10+/-√10²-4(1)(24)/2(1)
x = -10 +/-√100-96/2
x = -10 +/-√4/2
x = -10 +/- 2/2
x = -10 + 2/2 and -10-2/2
x = -8/2 and -12/2
x = -4 and -6
Answer
(3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
Explanation
We can factor out the following equation as follows:
27d⁶ + 8g¹² = 3³d⁶ + 2³g¹²
= (3d²)³ + (2g⁴)³
= (3d² + 2g⁴)((3d²)² - 3d²2g⁴ + (2g⁴)²)
= (3d² + 2g⁴)(9d⁴ - 6d²g⁴ + 4g⁸)
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
Answer:
£ 35
Step-by-step explanation:
Ratio = 6 : 1
Gordon's share = 6x
Malachy's share = x
6x - x = 25
5x = 25
x = 25/5
x = 5
Gordon's share = 6x = 6*5 = 30
Malachy's share = x = 5
Total money they get = 30 + 5 = £35
Answer:
250 litters
Step-by-step explanation:
To solve this question, we first need to know the conversion from cubic meter to liter.
1 cubic meter is equal to 1000 liters.
So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:
1 m3 -> 1000 L
1/4 m3 -> x L
x * 1 = (1/4) * 1000
x = 1000 / 4 = 250 L
So we need 250 liters of water.