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The quadratic equation 2x^2-8x+1 = 0 has roots a and b. Find the value of a + b and ab

There is no need to solve the quadratic equation here. Use the formulae for the sum and product of roots where: a+b = -b/a and ab = c/a Therefore in this instance: a+b = -(-8)/2 = 4 and ab = 1/2
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Answered by Alok K. • Maths tutor
9594 Views

If (2x+3)/(x-4)-(2x-8)/(2x+1)=1, what is x?

First eliminate fractions; Multiplying both sides by (x-4) gives; (2x+3)-((2x-8)(x-4))/(2x+1)=(x-4) Multiplying both sides by (2x+1) gives; (2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1) Now simplify the expression; E...
HC
Answered by Hannah C. • Maths tutor
3460 Views

The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this angle ...
AJ
Answered by Adam J. • Maths tutor
6160 Views

What is the next number in the sequence?

23 35 47 59 ?First we need to find the pattern in the sequence. We can do this by working out the gaps between the numbers. To work out the gap, we subtract each number from the next one in the sequence.35 -...
MC
Answered by Martin C. • Maths tutor
10600 Views

Solve this quadractic equation: x^2 - 8x + 15 = 0

To solve x 2 - 8x + 15 = 0 we could try to use the Product, Sum, Numbers method (PSN). The PSN method tells us that our numbers must multply to make the product of the first and last term, in this case 15. I...
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Answered by Toby S. • Maths tutor
12993 Views