Answer:
x = (-3±√5)/2
Step-by-step explanation:
Matching the given equation to the pattern ...
... ax² +bx +c = 0
we see that a=1, b=3, c=1.
The solution to the above pattern is given by the quadratic formula ...
... x = (-b±√(b²-4ac))/(2a)
Substituting the values of a, b, c that we found, the formula gives ...
... x = (-3±√(3²-4·1·1))/(2·1)
... x = (-3±√5)/2
Answer:
width = 12 yards
Step-by-step explanation:
width: x
length: x + 3
perimeter: 54
x + x + (x + 3) + (x + 3) = 54
4x + 6 = 54
subtract 6 from both sides
4x = 48
x = 12
width: 12
length: 12 + 3 = 15
Answer:
3x ^3 +4x^2 −2
Step-by-step explanation:
STEP
1
: Equation at the end of step 1
(((5•(x3))+(3•(x2)))+1)-((2x3-x2)+3)
STEP 2 Equation at the end of step
(((5•(x3))+3x2)+1)-(2x3-x2+3)
STEP 3 :
Equation at the end of step
((5x3 + 3x2) + 1) - (2x3 - x2 + 3)
STEP
4:
Polynomial Roots Calculator :
4.1 Find roots (zeroes) of : F(x) = 3x3+4x2-2
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 3 and the Trailing Constant is -2.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,2
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -1.00
-1 3 -0.33 -1.67
-2 1 -2.00 -10.00
-2 3 -0.67 -1.11
1 1 1.00 5.00
1 3 0.33 -1.44
2 1 2.00 38.00
2 3 0.67 0.67
Hope This Helps
Answer:
4x + 8x = 180
12x = 180
divide by 12 on both sides:
X = 15
4 x 15 = 60 degrees
8 x 15 = 120 degrees