Step-by-step explanation:
using trig, tangent is equal to opposite over adjacent.
in this case, the angle is 45, opposite is 7, and adjacent is a.
thus tan 45° = 7/a
solve for a to get a = 7/tan 45° = 4.32
For this problem your equation will be x+(x+1)+(x+2)=537
Multiply and Simplify:
x+x+1+x+2=537
3x+3=537
Subtract 3 from both sides:
3x+3-3=537-3
3x=534
Divide both sides by 3:
3x/3=537/3
x=179
179 is the middle number so: 178+179+180=537
180 is the third number.
Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
Infinite solutions; both equations are the same.
Hope this helps! <3
