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Mathematics
Jase Petersen
25 January, 06:02
What is square root of 4x + 13 = 2x - 1
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Fritz
25 January, 09:12
0
Hello:
√ (4x+13) = 2x-1 ... (1)
note : if (a=b) so (a² = b²)
if : (√ (4x+13)) ² = (2x-1) ² so : 4x+13 = 4x²-4x+1
4x²-8x-12 = 0
x²-2x-3 = 0
(x+1) (x-3) = 0
x+1 = 0 or x-3=0
x = - 1 or x=3
if : x = - 1 : √ (4 (-1) + 13) = 2 (-1) - 1
√9 = - 3 but √9 = 3
3 = - 3 impossible (-1 is not solution of equation (1)
if : x = 3 : √ (4 (3) + 13) = 2 (3) - 1
5 = 5 (right) conclusion : one solution : 3
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