Extraneous solutions, is answers that we get because of squaring both sides of the radical equation, but in reality, they are not going to be the solutions of the given equation.
(√(4x+41))²=(x+5)²
4x+41=x²+10x+25
x²+6x-16=0
(x-2)(x+8)=0
x1=2 , x2=-8,
And now we must to check them by substitution into initial equation
√(4x+41)=x+5
1) x=2, √(4*2+41)=2+5, √49=7, 7=7 true
2) x=-8, √(4*(-8)+41)=-8+5, √9 =-3 false,
so an extraneous solution x=-8
Answer:
a) DE = 15
b) AB = 6
Step-by-step explanation:
24/8 = 3
18/3 = 6
5*3 = 15
Answer: -10
Step-by-step explanation:
It is -10 because you have to switch the order of operations to get negative.
Hope it helps!
Answer:
Step-by-step explanation: The domain of the expression is all real numbers except where the expression is undefined
