Consider the following quadratic equation.
(x + 3)2 = 43
When taking the square root of both sides of this equation, how many solutions will the equation
have? How do you know?


Answer choices ⬇️

Consider the following quadratic equation x 32 43 When taking the square root of both sides of this equation how many solutions will the equation have How do yo class=

Respuesta :

Answer:

(x+3)

2

=43

BY TAKING SQUARE ROOT ON BOTH SIDES

x + 3 = \sqrt{43}x+3=

43

OR

x + 3 = - \sqrt{43}x+3=−

43

THUS

x = \sqrt{43} - 3x=

43

−3

OR

x = - \sqrt{43} - 3x=−

43

−3

THIS QUADRATIC EQUATION HAS 2 SOLUTIONS SINCE √43 CAN BE A POSITIVE OR A NEGATIVE INTEGER. FOR EXAMPLE, 2^2=4

BUT, (-2)^2=4 Thus. √4=2 or (-2)

After this. Simply shifting the 3 on the LHS to keep 'x' on one side to find its value.

what the other guy said