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i) Factorise x^2 – 7x + 12 ii) Solve x^2 – 7x + 12

i) STEP 1: Make 2 brackets and put an x in each one: (x )(x ) STEP 2: Find 2 numbers when multiplied together make 12 and when added together they make -7 Multiples of 12: 1 x 12 --> 1+12=13 2 x 6 --> ...
HC
Answered by Hashir C. • Maths tutor
4738 Views

Please expand the brackets in the following equation to get a quadratic equation. Then, please show using the quadratic formula that the solutions to the equation are x=3 and x=5. Here is the starting equation: (x-3)(x-5)=0

(X-3)(x-5)=0Use F.O.I.LFirst x multiplied by x gives x 2 outer x multiplied by -5 gives -5xinner x multiplied by -3 gives -3xlast -5x-3 gives +15combining we get x 2 -8x+15=0the quadratic equation ax 2 +bx+c...
JG
Answered by Jacob G. • Maths tutor
4257 Views

Solve 7x + 6 > 1 + 2x

7x + 6 > 1 + 2xFirst, we collect the like terms so we move all the x's to one side and all the integers to the other:5x > -5Then we divide by 5 on each side to find what just x will be.Therefore, x &gt...
JZ
Answered by Juliet Z. • Maths tutor
3218 Views

Solve the simultaneous equation, 3x + y = 8 and x + 3y = 12, to find a value for x and y.

Re arrange one of the equation to get a single variant answer. So, x = 12 - 3y. Substitute this into the other equation, so 3 (12-3y) + y = 8. Expand this equation to form 36 - 9y + y = 8. Collect the y term...
GR
Answered by Grace R. • Maths tutor
7056 Views

Show that (x + 4)(x + 5)(x + 6) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

=(x+4)(x 2 +6x+5x+30)=(x+4)(x 2 +11x+30)=x 3 +11x 2 +30x+4x 2 +44x+120=x 3 +15x 2 +74x+120
JZ
Answered by Jiawen Z. • Maths tutor
3196 Views