Question

$5x2 - 4x = 1$
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Answer 1

Answer:

1 Move all terms to one side.

5{x}^{2}-4x-1=0

5x

2

−4x−1=0

2 Split the second term in 5{x}^{2}-4x-15x

2

−4x−1 into two terms.

$5{x}^{2}+x-5x-1=0</p><p><u>5x</u> </p><p>2</p><p> +x−5x−1=0$

3 Factor out common terms in the first two terms, then in the last two terms.

x(5x+1)-(5x+1)=0

x(5x+1)−(5x+1)=0

4 Factor out the common term 5x+15x+1.

(5x+1)(x-1)=0

(5x+1)(x−1)=0

5 Solve for xx.

$x=-\frac{1}{5},1$

x=−

5

1

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