What are the solutions to the equation x2 = 9? Explain why is more than one solution to the equation.
1 answer:
ANSWER
The degree is two so it must have more than one solution.
EXPLANATION
The given equation is
Let us use the square root method to solve this equation.
Since the degree of x is two, the <em>fundamental theorem of algebra</em> says it must have 2 roots.
We take square root to obtain,
Split the plus or minus sign to obtain,
You might be interested in
<em>Equation b) (-3 + 5i) (1) = -3 + 5i demonstrates the multiplicative identity property </em>
<h3>Further explanation</h3>There are several properties in integer multiplication operations
- 1. closed property
Multiplication between integers will produce integers too
- 2. commutative property
a x b = b x a
- 3. associative property
ax (bxc) = (axb) xc
- 4. identity
ax1 = 1 x a = a
- 5. distributive property
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
The Multiplicative Identity is <u><em>1 </em></u>
<u><em>The multiplicative identity property states that any number multiplied by 1 will produce an original number. </em></u>
We complete the answer choices available from the problem above:
a) (- 3 + 5i) + 0 = -3 + 5i
O is an identity in the sum operation, the statement is false
b) (-3 + 5i) (1) = -3 + 5i
1 is a Multiplicative Identity of multiplication, so the statement is true
c) (-3 + 5i) (-3 + 5i) = -16-30i
d) (-3 + 5i) (-3 + 5i) = 16 + 30i
choice c and is a multiplication factor, so the statement is false
<h3>Learn more </h3>
the substitution method
The work of a student to solve a set of equations
Keywords: Multiplicative Identity property, integers
