Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
p=0 or p=-7/15
Step-by-step explanation:
15p2+7p=0
p(15p+7)=0
p=0 or 15p+7=0
Answer:
The first one is correct.
Step-by-step explanation:
I know a thing or two about a thing or two about powers of 10.
