Answer:
x=-8 ,2
Step-by-step explanation:
x ^ 2 + 6x - 6 = 10
Add 6 to each side
x ^ 2 + 6x - 6+6 = 10+6
x ^ 2 + 6x = 16
Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side
6/2 =3 , 3^2 =9
x ^ 2 + 6x +9 = 16+9
(x+3)^2 = 25
Take the square root of each side
sqrt((x+3)^2) = ±sqrt(25)
x+3= ±5
Make 2 equations
x+3 = 5 x+3 = -5
Subtract 3 from each side
x+3-3 =5-3 x+3-3 = -5-3
x =2 x=-8
Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
<span>The congruent complements theorem 2 <span> angles are complements of the same angle (or of congruent angles), then the two angles are congruent.</span></span>
I’m pretty sure it’s 3 and a 2
Answer:
Option D. x ≥ -4
Step-by-step explanation:
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