1,045 prompts matching "The imaginary unit i, and why i squared is minus one"
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Simplify the surd expression (2+sqrt5)^2
Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
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Worked example: find the magnitude of the vector (3,4)
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Worked example: find a+b where a=(2,-1) and b=(-3,5)
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
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Worked example: expand (1-x)^4 fully and use it to estimate (0.98)^4
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Real-life application of completing the square
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Real-life application of the quadratic formula
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Real-life application of the remainder theorem
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Real-life application of the binomial theorem
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Real-life application of sequences and series
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Real-life application of measures of dispersion
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Real-life application of sum and product of roots
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Real-life application of the factor theorem
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Real-life application of testing the validity of an argument
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Real-life application of the condition for a line to be tangent to a curve
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Give me a 5-minute recap of quadratic equations
Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of quadratic equations,