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solve 2x^(2) + 9x +10 = 15

2x^(2) + 9x - 5=0(2x )(x )=0(2x 1)(x 5)=0(2x -1)(x+5)=02x-1=0 or x+5=02x=1 x= -5x= 1/2

KM
Answered by Katie M. Maths tutor
2942 Views

A-level: solve 8cos^2(x)+6sin(x)-6=3 for 0<x<2(pi)

8(1-sin^2(x))+6sin(x)-6=38(1-sin^2(x))+6sin(x)-9=08sin^2(x)-6sin(x)+1=0(2sin(x)-1)(4sin(x)-1)=02sin(x)-1=0 4sin(x)-1=02sin(x)=1 4sin(x)=1sin(x)=1/2 sin(x)=1/4x=(pi)/6 , 5(pi)/6 , 0.253 , 2.89

KM
Answered by Katie M. Maths tutor
5318 Views

Solve the equation 7^(x+1) = 3^(x+2)

1st we will log both sides of the equation7(x+1) = 3(x+2) becomes log7(x+1) = log3(x+2)NEXT we will use the power law which is loga (x)k=k...

AE
Answered by Anwulika E. Maths tutor
5198 Views

How does Angela Carter use the fairy-tale genre in her short story The Bloody Chamber? (Genre-based A Level question that students often struggle with)

Angela Carter subverts characters from an easily-recognisable genre: the damsel in distress and the Prince Charming. While at first these characters conform into these archetypes (a conventional stock cha...

MG
6542 Views

A circle with centre C has equation x^2 + y^2 +8x -12y = 12

Recognise that the form this question is a circleRemember alternate circle equation (x + a)2 + (x + b)2 = r2Where centre of circle (-a,-b) and r is the radiusTo get the ri...

MG
Answered by Monique G. Maths tutor
3328 Views

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