exam Maths Puzzle Numerical Ability

Please help me solve the following problem:
Solve: x^2 + 3x - 4 = 0

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exam Other Question

IF A CERTAIN SOFT DRINK IS 97% CAFFEINE-FREE,HOW MANY SODAS WOULD YOU HAVE TO DRINK TO GET THE AMOUNT OF CAFFEINE FOUND IN A STANDARD SODA? Use logs (any base) to find the unknown:

2 to the power of 2x^2-3x = 2 to the power of x^2 - 2x + 12 (there are two answers, please find both using steps)