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yan [13]
3 years ago
15

4x²-17x-42 by factor

Mathematics
1 answer:
kkurt [141]3 years ago
5 0
4x²-17x-42
=4(x²-17/4x)-42
=4[x²-17/4  x+(-17/8)²-(-17/8)²]-42
=4(x-17/8)²-289/64-42
=4(x-17/8)²-(289+2688)/64
=4(x-17/8)²-2974/64
=[(2x-34/8)²-(√2974/8)²]
=(2x-34/8  +(√2974/8))(2x-34/8-(√2974/8)
=[2x+(√2974-34)/8][2x-(√2974+34)/8]

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The Solution:

Given:

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Solving the given problem graphically, we have:

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8 0
1 year ago
Let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)
Licemer1 [7]

The value of x such that f(x) = g(x) is x = 3

<h3>Quadratic equation</h3>

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

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On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

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7 0
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3 years ago
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