Solve for x: 2√5
2 − 11 + √5 = 0.
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Answer:
(2x−1)(x+5)=0
Explanation:
Expand
( 2 x − 1 ) ( x + 5 )
using the FOIL method.
2 x ⋅ x + 2 x ⋅ 5 − 1 x − 1 ⋅ 5 = 0
Simplify and combine like terms.
2 x 2 + 9 x − 5 = 0
Use the quadratic formula to find the solutions.
− b ± √ b 2 − 4 ( a c ) 2 a
Substitute values
a = 2 , b = 9 y c = − 5
into the quadratic formula and solve for
- x . − 9 ± √ 9 2 − 4 ⋅ ( 2 ⋅ − 5 ) = 0
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