Answer:
m = 3/40
Step-by-step explanation:
4 = 3/4m - 6
m*4 = m(3/4m -6)
4m = m*3/4m + m*-6
4m = 3/4 - 6m
6m + 4m = 3/4
10m = 3/4
m = (3/4)/10
m = 3/40
check:
4 = 3/(4*3/40) - 6
4 = 3/(12/40) - 6
4 = (3*40)/12 - 6
4 = 120/12 - 6
4 = 10 - 6
1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
<u>Given</u>
AC = BC
<u>Substitution</u>
∠1 = ∠3
<u>Base ∠'s of isosceles triangle =</u>
∠1 = ∠3
<u>Vertical angles =</u>
∠2 = ∠3
