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Solve the quadratic equation x^2 + x - 20 = 0

Factorising the left hand side we get x² + x - 6 = (x + 5)(x - 4). Therefore x² + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that...

Answered by Lizlie J. • Maths tutor

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how would you expand quadratic factors

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same p...

Answered by Ricken P. • Maths tutor

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y is inversely proportional to d2 when d = 10, y = 4 d is directly proportional to x2 when x = 2, d = 24 Find a formula for y in terms of x. Give your answer in its simplest form.

y=k/d²
substituting:4=k/10²
4=k/100
400=k
d=nx²
substituting:24=n x 2²

24=4n
n=6
Eq1:y=400/d²
Eq2:...

Answered by Abi I. • Maths tutor

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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

Consider a right angled triangle, it has perimeter of 72cm. Let's label the three sides a, b and c.Therefore, a + b + c = 72cm.Also, we know that a:b:c = 3:4:5Therefore we can say that a = 3x, b = 4x, c =...

Answered by Dilan A. • Maths tutor

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