exam Maths Puzzle Numerical Ability

What three techniques can be used to solve a quadratic equation? Please could you demonstrate all three techniques using the following equation. Thanks!

12x^2 - 10x - 42 = 0

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y=2[x+6]-10 a mountain climber is scaling a 400-foot cliff.the climber starts the bottom at t=0 and climbs at a constant rate of 124 feet per hour.use the slope and y-intercept to write the li