Factorise 6x² + 20x - 35
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Step-by-step explanation:
a(x - −6+ √b² - 4ac -)(x -
2a
-b-√6² 4ac
2a
2 In this case, a = 6, b = 20 and c =
-35.
6(x -
-2020²4 x 6 x 35. =)(x -
2×6
-20 2024 x 6 x -35.
2×6
-20+2√310 -) (x –
12
-20-2√310
12
4 Factor out the common term 2.
6(x
-2(10-√310) ²) (x -
12
-20-2√310
12
5 Move the negative sign to the left.
6(x-(
2(10-√310)
12
-20-2√310.
12
-)) (x -
6(x+ ( 10-√310 6 -)(x - 2(10+√310))) 12
10 Simplify
2(10+√310) 12 to 10+√310 6
6(x + 10 √310 6 -)(x -
10+√310
6
11 Remove parentheses.
6(x
+ 10-√310
6
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10+√310
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