Israel started to solve a radical equation in this way
square root of x plus 6 β 4 = x
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Mathematics, 13.11.2019 09:31 covergurllaa
Israel started to solve a radical equation in this way
square root of x plus 6 β 4 = x
square root of x plus 6 β 4 + 4 = x + 4
square root of x plus 6 = x + 4
( square root of x plus 6 )2 = (x + 4)2
x + 6 = x2 + 8x + 16
x + 6 - 6 = x2 + 8x + 16 - 6
x = x2 + 8x + 10
x - x = x2 + 8x + 10 - x
0 = x2 + 7x + 10
0 = (x + 2)(x + 5)
x + 2 = 0 x + 5 = 0
x + 2 - 2 = 0 - 2 x + 5 - 5 = 0 - 5
x = -2 x = -5
solutions = -2, -5
what error did israel make? (2 points)
he subtracted 6 before subtracting x.
he added 4 before squaring both sides.
he factored x2 + 7x + 10 incorrectly.
he did not check for extraneous solutions.
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