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Find the point(s) of intersection of the curve y=x^2+7x+14 and y=2x+8:

Equate the two graphs:x²+7x+14=2x+8Rearrange to find a single quadratic:x²+5x+6=0Factorize and solve:(x+2)(x+3)x=-2 x=-3Sub x values into one of the original graphs to find y:(-2,...

Answered by Daniel M. • Maths tutor

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What's the quadratic formula used for?

Firstly, it's important to understand what the formula is. It is essentially a re-arrangement of a quadratic equation, however the formula can be learnt so that it can be applied quickly within an exam co...

Answered by James H. • Maths tutor

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factorise x^2 - x - 6

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Answered by Kushal C. • Maths tutor

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The length of a plank of wood is 80cm to the nearest 1cm. What is the largest and smallest possible value for the actual length of the plank?

Bounds can be used when a value has been approximated. e.g. The length of a plank of wood is 80cm to the nearest 1cmThe lower bound is the smallest value that would round up to the estima...

Answered by Lydia T. • Maths tutor

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f(x)=2x^2 -8 What is the value of x if f(x)=0, x>0

This would be a typical B grade GCSE question. Firstly, let's set f(x) to 0 , where now we have 0=2x²-8 . We now need to rearrange to find x. First, move the -8 to the other side of the "=...

Answered by Tutor122314 D. • Maths tutor

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