x(.6917)+(1.0318x)(.3083)=63.546
Solve for x
suppose you had
4x + 3(7x) = 55
I am sure you could solve that.
now follow the same steps for your equation.
7.93?
use your calculator to see if it works for your given equation.
By the "just - look - at - it " theorem, I can see that your solution cannot possible work
your answer of 7.93 is appr 8
.69..(8) is about 5.6
1.-3...(8)(.3...) is about 1/3 of 8 or about 2.7
5.6 +2.7 ≠ 63.5...
Give it another serious try
62.92?
To solve the equation for x, follow these steps:
Step 1: Simplify the equation by multiplying the terms:
x(0.6917) + (1.0318x)(0.3083) = 63.546
Step 2: Distribute the terms:
0.6917x + 0.3180x^2 = 63.546
Step 3: Rewrite the equation in quadratic form:
0.3180x^2 + 0.6917x - 63.546 = 0
Step 4: Solve the equation using the quadratic formula:
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = 0.3180, b = 0.6917, and c = -63.546. Plugging these values into the quadratic formula, we get:
x = (-0.6917 ± √(0.6917^2 - 4(0.3180)(-63.546))) / (2(0.3180))
Step 5: Simplify the equation inside the square root:
x = (-0.6917 ± √(0.4783 + 80.6888)) / 0.636
Step 6: Further simplify:
x = (-0.6917 ± √(81.1671)) / 0.636
Step 7: Calculate the square root:
x = (-0.6917 ± 9.011) / 0.636
Step 8: Solve for x:
There are two possible solutions:
x1 = (-0.6917 + 9.011) / 0.636 ≈ 12.787
x2 = (-0.6917 - 9.011) / 0.636 ≈ -15.71
So, the solutions for x are approximately 12.787 and -15.71.