Question

02.03) find the non-extraneous solutions of the square root of the quantity x plus 7 minus 4 equals quantity x plus 3 . (1 point) x = −2 x = −7 and x = −2 x = −6 and x = −7 x = 1

Answer 1

$\sqrt{x+7}-4=x+3\\ \sqrt{x+7}=x+3+4=x+7\\x+7=(x+7)^2=x^2+14x+49\\x^2+13x+42=0\\x^2+6x+7x+42=0\\x(x+6)+7(x+6)=0\\(x+7)(x+6)=0\\x=-7 \ and \ x=-6$

Answer 2

Answer:

x = −6 and x = −7

(just took the test)