Solve the quadratic equation by completing the square. x2 + 4x - 3 = 0

1 answer:

6 0

First move the constant to the other side of the equation by adding 3 to both sides...

x^2+4x=3

Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...

x^2+4x+4=7, now the left side is a perfect square of the form...

(x+2)^2=7, now take the square root of both sides...

x+2=±√7, subtract 2 from both sides...

x=-2±√7

So x=-2-√7 and -2+√7

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The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.

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Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

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Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

Take the square root of both sides to isolate r

$\sqrt{\frac{43.25}{\pi}} =r\\3.71=r$

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