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Nikolay [14]
3 years ago
13

HELP PLEASE ITS DUE IN 10 MIN Use algebraic strategies to solve for x.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

x = 4, x ≠ -1

Step-by-step explanation:

√3x + 4 = x

(√3x + 4)² = x² (Square both sides to get rid of the radical.)

3x + 4 = x²

0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)

0 = (x - 4)(x + 1) (Factor.)

x = 4   x = -1

Now we need to check for extraneous solutions:

√3(4) + 4 = 4

√12 + 4 = 4

√16 = 4

4 = 4

√3(-1) + 4 = -1

√-3 +4 = -1

√1 = -1

1 ≠ -1

-1 is an extraneous solution.

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Also, it will not make any sense to use (20+5)6 as that has no power and we know that Binomial Theorem makes use of Power. Anyway, (20+5)6=150\neq 256.

Our best bet here would be to use the equation with power 8:

(x+y)^8=x^8+8x^7y+28x^6y^2+56x^5y^3+70x^4y^4+56x^3y^8+28x^2y^6+7xy^7+y^8

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(1+1)^8=1^8+8(1)^7(1)+28(1)^6(1)^2+56(1)^5(1)^3+70(1)^4(1)^4+56(1)^3(1)^8+28(1)^2(1)^6+7(1)(1)^7+(1)^8 =256

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Step-by-step explanation:

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Answer:

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Putting the value of y1  in the previous equation

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So x1=\sqrt{216} \  and \ y1=\ \sqrt{216}

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