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Solve these simultaneous equations algebraically: y=2x^2 - 7x + 4 & y=4x-1

As we have two equations of x for y we can make these equal to each other. This gives the following:2x 2 - 7x + 4 = 4x - 1As with any quadratic we want to make it equal to 0. This gives the following:2x 2 - ...
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Answered by Nathaniel R. • Maths tutor
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What is the solution to x^2 + 5x - 7 = 0

X can be found by using the quadratic equation. x = -b plus or minus (b 2 -4ac) 1/2 /2a. We find that x=-5/2 plus or minus (53) 1/2 /2.
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Answered by Sacha A. • Maths tutor
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A linear equation has terms: a+2b, a + 6b, a + 10b, ......., ........ the second term equals 8 and the fifth term equals 44. Work out the value of a & b

We are given the second term both as a number and an equation, so we can saya + 6b = 8We can then estimate the fifth term by continuing the pattern of adding 4b to each term in the sequence, which gives:Thir...
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Answered by Jamie M. • Maths tutor
3026 Views

In a chess club, there are x boys and y girls. If 5 more boys and 8 more girls join, there would be half as many boys as girls. Show that y = 2x + 2

Let:x = number of boysy = number of girlstherefore 2(x+5) = (y+8)2x + 10 = y - 8y = 2x + 2
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Answered by Bethany S. • Maths tutor
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How do I know if triangle ABC contains a right angle? (where AB=10cm, BC= 8cm, CA= 6cm)

When using Pythagoras' theorem, the hypotenuse squared should equal the square of the other two sides added together, so (a 2 =b 2 +c 2 ). We also know that for Pythagoras' theorem to work, one of the angles...
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Answered by Sophia E. • Maths tutor
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