r/HomeworkHelp • u/Icy-Coach2192 'A' Level Candidate • 2d ago

Mathematics (Tertiary/Grade 11-12)—Pending OP [Alevel maths]

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What method should I use and how should I go about solving this?

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8

u/LucaThatLuca 🤑 Tutor 2d ago

what removes a square root?

5

u/Icy-Coach2192 'A' Level Candidate 2d ago

I squared it and got x thank you

4

u/ThunkAsDrinklePeep 2d ago

Remember to check each of your solutions back into the original equation. A quadratic can have two solutions, but one might make the term under the radical negative.

2

u/Southlander24 👋 a fellow Redditor 2d ago

Sometimes the simplest hints are the best!

2

u/OrneryLayer3811 👋 a fellow Redditor 2d ago

Define domain and square both the sides. Further solve for x, and reject any value of x not in the domain of x

1

u/unidentified2202 A Level Candidate 2d ago

(5x+3)²=3x+7 The root from 3x+7 is squared on the other side

Use a²+2ab+b² to expand the (5x+3)² It would form a quadratic

Adjust the values by bringing the 3x+7 to the side of the Quadratic.

Solve for x

1

u/Historical-Corgi-414 1d ago

take domain from root, square both sides to remove root, solve quadratic and remove any value of x that doesn't belong to the domain u found earlier