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Solve t^2-t=3(7+t)

Expand RHS: t² - t = 21+ 3tCollect all terms on one side: t² - 4t - 21 = 0Factorise and solve by inspection / use the quadratic formula to solve for t: (t + 3)(t - 7) = 0 / t = [ -(-4) ± ( (-4)² - 4x(1)x(-21) )^1/2 ] / 2(1)t = -3, t = 7

Answered by Charlie W. • Maths tutor

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Solve t^2-t=3(7+t)

Related Maths GCSE answers

Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.

Simplify fully {x^2 -3x -4}/{x^2 + 4x +3}

Solve for x and y, with x and y satisfying the equations x+4y=5 and 2x+2y=16.

In a cinema, male to female ratio is - 1:3. The ratio of the females, who like popcorn to females who don't like popcorn is 2:1. 10 girls don't like popcorn. How many people are there in the cinema altogether?

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