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lys-0071 [83]
3 years ago
9

4x^2-x-3=0 solve by completing the square x= ??

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
Hello,

4x²-x-3=0
==>(2x)²-2*1/2*x+1/4-3-1/4=0
==>(2x-1/2)²-13/4=0
==>(4x-1)²-13=0
==>(4x-1-√13)(4x-1+√13)=0
==> x=(1+√13)/4 or x=(1-√13)/4



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8. Given: PQR and TSR are right triangles,
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Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

Statement                      Reason

∠PQR = ∠RST                Given. ∠PQR = ∠RST = 90° (definition for right

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PQ = ST                          Given

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Given:

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The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

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Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

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On comparing both sides, we get

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