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Write 2x^2 + 6x + 6 in the form a(x^2 + b) + c by completing the square.

2x 2 + 6x + 62(x 2 + 3x + 3) => Factor out 4 from each term so the x 2 term of the quadratic has 1 for a coefficient.2[(x + 3/2) 2 - d + 3] => Here, we've divided 3x by 2; this coefficient becomes b. W...
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Answered by Iffshah I. • Maths tutor
3787 Views

What is the simplified version of ( 2a+4a^2+3a)

Firstly group the like terms to make the expression (5a+4a^2) and then factor out 'a' as it is a common term.This makes the expression ( a(5+4a))
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Answered by Rajun G. • Maths tutor
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Find the solutions to the simultaneous equations

y - 2x = 3 x 2 + y 2 = 18Step 1- re-arrange the first formula to find y: y = 3 + 2x Step 2- Substitution: x 2 + ( 3 + 2x ) 2 = 18 Step 3- Expand the brackets: ( 3 + 2x )( 3 + 2x ) = 9 + 6x + 6x + 4x 2 x 2 + ...
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Answered by Rebecca H. • Maths tutor
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Compare surgery and anatomy during the Renaissance with surgery and anatomy in the 19th century. In what ways were they similar?

In both the Renaissance period and the 19th-century surgery and anatomy advanced and new approaches were used. For example, in the Renaissance period, Paré developed ligatures and lotion to seal wounds; this...
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Answered by Zoe G. • History tutor
37728 Views

What Mechanisms control the human body's temperature ?

Thermoregulatory homeostasis helps to maintain the core body temperature at 37 degrees Celsius.When we are too hot the body's sweat glands secrete sweat onto the skin which then evaporates, allowing us to co...
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Answered by Alexandra D. • Biology tutor
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