Write a quadratic equation given the solutions -4,-6
1 answer:
is the quadratic equation with the solutions -4 and -6
Given that -4 and -6 are solutions of a quadratic equation and asked to find out the quadratic equation
If "a" and "b" are the roots of the quadratic equation then,
sum of roots = a+b
product of roots = ab
There the required quadratic equation is
Given that a= -4 and b= -6
sum of roots = a+b = -4 +(-6) = -10
product of roots = ab =( -4 )( -6 ) = 24
There the required quadratic equation is
Hence, is the quadratic equation with the solutions -4 and -6
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Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!