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How do you prove by contradiction the irrationality of surds. Use sqrt 2 as an example.

Proof by contradiction works by working of the assumption a statement is true, then showing it contradicts with a known truth. It's easy to rote learn the main ones required for Maths A Levels (irriationalit...
Answered by • Maths tutor
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Solve the simultaneous equations: 2x + y = 5 , x + 4y = -22

Showing each step of working is important.First, we need to rearrange one of the equations to solve for x or y.If we rearrange the first equation to solve for y in terms of x we get: y = 5 - 2x ( by subtract...
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Answered by Joel F. • Maths tutor
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X=4x^2 + 5x^7 - sin(3x) find dy/dx

X= 8x+ 35x^6 -3cos(3x)
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Answered by Zainab A. • Maths tutor
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The area of a parallelogram is given by the equation 2(x)^2+7x-3=0, where x is the length of the base. Find: (a) The equation of the parallelogram in the form a(x+m)^2+n=0. (b) The value of x.

(a)STEP 1: Take out the coefficient of x^2 from the x^2 and x terms. 2(x) 2 +7x-3=0 2(x 2 +(7/2)x)-3=0 STEP 2: Complete the Square by finding (b/2) 2 . (b/2) 2 .= (7/4) 2 Therefore, 2[(x+(7/4)) 2 -(7/4) 2 ]-...
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Answered by Marco A. • Maths tutor
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Solve, using the quadratic formula, the equation x^2 +2x=35

suppose you have a general quadratic equation in the form ax 2 + bx + c = 0, then the solutions to this quadratic equation can be found by the equation x = (-b +/- (b 2 -4ac) 1/2 )/2aThe 'plus or minus symbo...
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Answered by Antonia S. • Maths tutor
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