Solve x^2-8x+5=0 using the completing-the-square method

x = 4 ±

Step-by-step explanation:

To complete the square

add (half the coefficient of the x- term)² to both sides

x² + 2(- 4)x + 16 + 5 = 16

(x - 4)² + 5 = 16 ( subtract 5 from both sides )

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± ( add 4 to both sides )

x = 4 ± ← exact values

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

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step-by-step explanation: