Answer:
Given the equation:
A quadratic equation is in the form: where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;
Simplify:
Also, it is given that the difference of two roots of the given equation is
i.e,
Here,
, ......[2]
.....[3]
then;
simplify:
or
Squaring both sides we get;
Subtract 100 from both sides, we get
Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve
or
or
Simplify:
Now, to solve for ;
or
or
Simplify:
therefore, the solution for the given equation is: and -2.
Answer:
Step-by-step explanation:
triangle ABC is an equilateral so all angles and sides are equal to each other
AB = 6
triangle DEF is an isosceles so two of its angles are equal to each other
a triangles angles add up to 180°
to find the measure of these angles we’ll write this equation:
x + x + 40 = 180
and solve for x
2x + 40 = 180
2x = 140
x = 70°
so mF is 70°
Check the picture below.
make sure your calculator is in Degree mode.