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# I need some help

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The number x is a solution to the equation 5x^2 + 4 = 3x + 9. What is the value of (10x-3)^2?

So using the quadratic formula we get

what I'm confused about is the fact that it asks for one solution and that is not possible with the plus-minus sign. Can anybody help? Thanks

$$x = {3 \pm \sqrt{109} \over 10}$$

Feb 12, 2022

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Rearrange your solution to get 10x - 3.

As you note, there are two values $$\pm\sqrt{109}$$

What happens when you square these?

Feb 12, 2022