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For which values of k does the quadratic equation 2x^2+kx+3=0 only have one unique solution?

A quadratic equation ax 2 +bx+c=0 will have only one unique solution if and only if b 2 -4ac=0. If we apply this to the equation in the question, we get that k 2 -24=0. If we solve this equation we get two s...
ER
Answered by Ewan R. • Maths tutor
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Solve the linear equation 4x+5=-6x+15

So, students should be able to solve basic linear equations as shown above. The aim in order to solve the equation would be to get all of the x values onto one side of the equation and all of the integers on...
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Answered by Niall H. • Maths tutor
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Solve the simultaneous equations 2x + y = 18 and x - y = 6

2x + y = 6x - y = 6x = 6 + y => 2(6 + y) + y = 18 => 12 + 3y = 18 => 3y = 6 => y = 2x - (2) = 6 => x = 8x = 8, y = 2
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Answered by Harry H. • Maths tutor
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FInd the equation of the line tangent to the graph g(x)=integral form 1 to x of cos(x*pi/3)/t at the point x=1

This problem requires us to find out the equation of the tangent line, which has form y=mx+q.M is the angular coefficient or slope of the line and can be evaluated through the derivative of the function at t...
Answered by • Maths tutor
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There are 16 hockey teams in a league. Each team played two matches against each of the other teams. Work out the total number of matches played.

16 teams. Therefore, 1 team plays (16-1)x2=30 matches in a season. Total matches played = 30+28+26+...+2+0. 16 teams so total number of matches = 16 x (30+0)/2 =240Or each team plays 30 matches. 30x16=480. B...
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Answered by James D. • Maths tutor
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