Reflexive property of equality.
If (x^2 -10) is one of the factors, that can be further factored into:
(x - sqrt(10) ) * (x+sqrt(10)) =0
making 2 of the 4 solutions equal:
3.1623 and -3.1623
I then used an algebraic long division calculator
http://calculus-calculator.com/longdivision/
to calculate:
<span>x^4 + 5x^3 ‒ x^2 ‒ 50x ‒ 90 divided by x^2 -10 which equals
</span>x^2 + 5x + 9
Using the quadratic formula, the roots of that equation are:
x = -5 + sqrt (-11) / 2
and
x = -5 - sqrt (-11) / 2
Both of those roots are not real.
I tried using online graphing calculators for x^4+5x^3-x^2-50x-90=0 but none worked.
2. For this equation,
<span>3x^2 ‒ 8x + k = 0
I used my OWN quadratic formula calculator
http://www.1728.org/quadratc.htm
and found that real roots no longer exist after "k" is greater than 5.3
</span>
The solution to this system of equations is (2,3)
Answer:
Step-by-step explanation:
Sum of all angles of triangle = 180°
15x + 3 + 3x - 1 + 52 = 180
15x + 3x + 3 - 1 + 52= 180
Combine like terms.
18x + 54 = 180
To find the vlaue of x, we have to islolate x
<u>Step1:</u> Subtract 54 from both sides
18x = 180 - 54
18x = 126
<u>Step2:</u> Divide both sides by 18
x = 126/18
x = 7