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3 years ago

Solve the following equation for x. 15x^2 – 46x + 16 = 0

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

3 0

Answer:

X=2/5,8/3

Step-by-step explanation:

Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.

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A rectangular lawn is 2 m longer than it is wide.

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Let's breadth be x

Length be x+2

ATQ

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$\\ \sf\longmapsto x^2+2x=21$

Use completing the square method

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$\\ \sf\longmapsto 4x^2+8x=84$

$\\ \sf\longmapsto (2x)^2+2(2x)(2)=84$

$\\ \sf\longmapsto (2x)^2+2(2x)(2)+2^2=2^2+84$

$\\ \sf\longmapsto (2x+2)^2=88$

$\\ \sf\longmapsto 2x+2=\pm\sqrt{88}$

As it's dimensions we will take positive

$\\ \sf\longmapsto 2x+2\approx 9.7$

$\\ \sf\longmapsto 2x=9.7-2=7.7$

$\\ \sf\longmapsto x=3.8$

x+2=3.8+2=5.8

Now

$\\ \sf\longmapsto Perimeter=2(L+B)$

$\\ \sf\longmapsto perimeter=2(3.8+5.8)$

$\\ \sf\longmapsto perimeter=2(9.6)$

$\\ \sf\longmapsto Perimeter=19.2m$

Length of 1 strip=13m

Total strips

$\\ \sf\longmapsto \dfrac{19.2}{13}$

$\\ \sf\longmapsto 1.47strips$

She needs 2 strips

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