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

Related Maths A Level answers

All answers ▸

Differentiation: How to use the chain rule


How do you find the point or points of intersection of a straight line and a circle?


How do you 'rationalise the denominator'?


Find the gradient of the tangent to the curve with the equation y = (3x^4 - 18)/x at the point where x = 3