Solve the following quadratic equations by factorization:√2x²-3x-2√2=0
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The factors are (√2x + 1) and (x - 2√2).
Step-by-step explanation:
√2x² -3x -2√2 = 0
Factors of -4 are -4 and +1.
So √2x² -3x -2√2 = 0 can be written as:
√2x² -4x + x -2√2 = 0
√2x (x -2√2) + 1 (x -2√2) = 0
(√2x + 1) (x - 2√2) = 0
So the factors are (√2x + 1) and (x - 2√2).
x = 2√2 , -1/√2
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