Answer:
x = -3 or x = 5
Step-by-step explanation:
Solve: x^2 -2x = 15
x^2 - 2x - 15 = 0
Use the Diamond method of factoring
-15 = 3* -5 and 3 - 5 = -2 so...
x^2 - 2x - 15 = x^2 - 5x + 3x - 15
x^2 - 2x - 15 = x *(x - 5) + 3*(x - 5)
x^2 - 2x - 15 = (x + 3)*(x - 5)
x^2 - 2x - 15 = (x + 3)*(x - 5) = 0
solve (x + 3 ) = 0 and (x - 5) = 0
x = -3 or x = 5
Answer:
(5a+b)⋅(5a−b)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
52a2 - b2
STEP
2
:
Trying to factor as a Difference of Squares
2.1 Factoring: 25a2-b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (5a + b) • (5a - b)
Answer:
GCF of 3 and 6 is 3.
LCM of 3 and 6 is 6.
Step-by-step explanation:
The volume formula could be re-written to help understand this, as V = π*3r^2*3h. If you solve for this, you can conclude that the volume would be multiplied by 27.
Answer: Option 'A' is correct.
Step-by-step explanation :
Since we have given that
Number of medals = 2
Number of runners = 8
We need to find the number of ways to award the medals.
We would use "fundamental theorem of counting" to find the number of ways.
So, number of ways is given by
8 × 7 = 56
Hence, option 'A' is correct.
