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Find the two real roots of the equation x^4 -5=4x^2 Give the roots in an exact form.

Disguised quadratic. Let y=x^2So quadratic become y^2-4y-5=0so (y-5)(y+1)=0so y=5 and y=-1so x^2 = 5 or -1cannot be -1 as not real henso x^2=5x=+-sqrt(5)

RJ
Answered by Rishi J. Maths tutor
3331 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) The straight line L2 passes through the origin and has gradient -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

Find equation of line 1 in terms of x. eg y=mx+c - Using gradient and points. Equation of line 2 is just y=-3xSo -3x=mx+c of line 1Find xSub into one equation to find the y point.Done

RJ
Answered by Rishi J. Maths tutor
9531 Views

A ball, dropped vertically, falls d metres in t seconds. d is directly proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How many metres does the ball drop in the next 7 seconds?

d = kt2. 45 = k x 32. 45 = k x 9 (/9). 5 = k.3+7 = 10 seconds total as we are investigating the NEXT 7 seconds. d = kt2. d = 5 x 102. d = 5 x 100d = 500m in 10 ...

EN
Answered by Emily N. Maths tutor
3963 Views

Wie sollte deiner Meinung nach Mobbing an Schulen in Angriff genommen werden?

Zunächst einmal ist es wichtig, die verschieden Arten des Mobbings an Schulen aufzudecken. Hierzu gehören zum Beispiel Cyber-Mobbing und/oder das Hänseln an der Schule. Für beide Arten bieten sich verschi...

HH
Answered by Harun H. German tutor
1338 Views

Describe how a vaccine results in immunity.

Vaccine contains dead or altered/weakened form of the disease-causing pathogen, which contains a specific antigen. The antigen stimulates an immune response, leading to <...

DO
Answered by Dide O. Biology tutor
2205 Views

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