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Solve the simultaneous equations y = x + 3 and y = x^2 + 3x

Step 1: Recognise the quadratic term, this cannot be solved through elimination. Therefore we must need to use substitution. Substitute y = x + 3 into the quadratic. Gives x + 3 = x2 + 3xStep 2...

SN
Answered by Sam N. Maths tutor
6389 Views

n is an integer such that 3n + 2 ≤ 14, and 6n/(n^2 + 5) >1. Find all possible values of n.

Step 1: Simplify 3n + 2 ≤ 14 3n ≤ 12 n ≤ 4 and 6n > n^2 + 5 0 > n^2 -6...

CM
Answered by Catriona M. Maths tutor
10344 Views

Solve (x+10)(x-16)=0

x+10=0x= -10x-16=0x= 16

ST
Answered by Sophie T. Maths tutor
2762 Views

(x+3)(x-4)(x+5) is identical to x^3 +ax^2 -17x+b. Find the value of a and the value of b.

Multiplying out the first two brackets gives (x^2-x-12)(x+5). Multiplying the remaining brackets gives x^3 + 4x^2 -17x - 60.

a = 4b = 60

AE
Answered by Aeron E. Maths tutor
7713 Views

Solve the simultaneous equations : x ^2+2y=9, y=x+3 to find solutions for x and y.

We must use the substitution method for this question because the first equation is a quadratic. Take the more simple equation (the second one), and use that to substitute the value for y in to the first ...

CR
Answered by Callum R. Maths tutor
2782 Views

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