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F) |2x2 - 13x + 201 | = 13x + 20 |
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Answer» Answer: 2 2 − 13 x + 20
The simplest way to do this is using the quadratic EQUATION: x = − b ± √ b 2 − 4 a c 2 a
Where, a = 2
b = − 13
c = 20
x = − ( − 13 ) ± √ ( − 13 ) 2 − 4 ⋅ 2 ⋅ 20 2 ⋅ 2
x = ( 13 ) ± √ 169 − 160 4
x = ( 13 ) ± √ 9 4
x = 4 and x = 5 2
x − 4 = 0
x − 5 2 = 0
Therefore, 2 x 2 − 13 x + 20 = ( x − 4 ) ( x − 5 2 ) Step-by-step explanation: u 2 x 2 − 13 x + 20
Factors of 20 ⋅ 2 which add up to -13 are -5 and -8 so you can replace -13 with -5 and -8 such that: 2 x 2 − 5 x − 8 x + 20
which goes to: x ( 2 x − 5 ) − 4 ( 2 x − 5 )
Take the expressions not in the brackets together to GET: ( x − 4 ) ( 2 x − 5 ) |
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