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How do you solve a quadratic inequality eg find the values of x for which x^2 -6x +2 < -3

First we must change our inequality so that we have a zero on one side, In this case we can add three to both sides of the inequality, this gives: x^2 - 6x +5 &lt; 0 Now let's consider the equation y = x^2 -...
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Answered by Isobel R. • Maths tutor
5101 Views

Please find X. 5x + 2 = 9

5x + 2 = 9 Bring all the numbers which do not include x to the right hand side. 5x = 9 - 2 5x = 7 Now, to find x, 7 should be divided by 5. x = 7 / 5
EA
Answered by Erato A. • Maths tutor
2844 Views

3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.

X12 = £150 x (1-0.25) = £112.50 Teli-vise: £235 / 2 = £117.50 Xpert: £60 + (12 x £8) = £156 Therefore the X12 is the cheapest television after the discount has been applied.
GC
Answered by George C. • Maths tutor
5224 Views

One bag has 4y+2 counters in it and another has 6y-2 counters in it. The bags have the same number of counters in them. Calculate the value of y.

4y+2=6y-2, add 2 to both sides. 4y+4=6y, subtract 4y from both sides. 4=2y, divide both sides by 2 y=2
GC
Answered by George C. • Maths tutor
2314 Views

2 equations intersect each other, y = x + 2 and y = x^2. Find the area of the shaded region between the points of intersection giving your answer to 3 significant figures. (shaded region will be shown)

points of intersection are (-1,1) and (2,4). Area of the shaded region is 4.5.
SA
Answered by Syed A. • Maths tutor
3679 Views