exam Maths Puzzle Numerical Ability

Solve for x:10^x to the power of 2 - x equals 100

Please show me steps to get the answer of x = -1 or 2

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exam Other Question

what is the probability of picking two cards of the same suit in a deck of 52? Explain how to Foil when factoring a polynomial of the form ax^2+bx+c when a=1
thank you