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Solve the following simultaneous equations: equation A 2y+3x=14 equation B y+2x=8

Step 1: make one term in both equations the sameHere we will multiply equation B by 2 so that there is a 2y in both equationsEquation C = 2 x equation B = 2y + 4x = 16 Step 2: Combine the equationsIf we take...
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Answered by Rhiannon H. • Maths tutor
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Solve the following quadratic: x^2 -5x +6=0

Step 1: factorise Find two numbers which add to make -5 and multiply to make 6--- -3 and -2(x-3)(x-2)=0 Step 2: recognise solutionsTo make the left hand side equal the right hand side, we can make one of the...
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Answered by Rhiannon H. • Maths tutor
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What is the magnitude and direction of the resultant force of 3N horizontal and 5N vertical?

Magnitude: Find the square root of 3^2+5^2=root of 34=5.83N (3sf) Direction: Draw a triangle with 3N at the bottom, 5N going up and the hypotenuse then represents the resultant force.The direction will be th...
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Answered by Rhiannon H. • Maths tutor
4315 Views

What is the gradient of the curve 3x^3 + 7x at the point x=3?

The gradient or the slope of a curve is defined as the change in the y direction over the change in the x direction (dy/dx). In order to calculate a formula for the gradient of a curve we must differentiate ...
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Answered by Junaid K. • Maths tutor
3625 Views

Find the values of k for which the equation (2k-3)x^2- kx+(k-1)=0 has equal roots.

For a quadratic to have equal roots, the value of the discriminant (b 2 -4ac) =0. This means that the quadratic formula yields only one result (or two equal roots), since x=(-b ±0)/2a , thus if a and b are c...
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Answered by Henry K. • Maths tutor
12602 Views