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GCSE Maths Symbols, Equations & Formulae

livvy_hurrell

Solve by Completing the Square 8.12.2021

Description

Solve without us fractions. integers and Square Roots. Some have a common factor.

Quiz by Theresa C., updated more than 1 year ago

	Created by Theresa C. almost 4 years ago

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Resource summary

Question 1

Question

$x^2-4x-4=0$

Answer

$x=2, x=-12$
$x=2\pm2\sqrt{2}$
$x=2\pm\sqrt{3}$
$x=-2\pm4\sqrt{2}$

Question 2

Question

$x^2-10x+16=0$

Answer

$x=-5, x=-9$
$x=8, x=2$
$x=5 \pm\sqrt{41}$
$x=\pm\sqrt{13}$

Question 3

Question

$x^2+10x-56=0$

Answer

$x=4, x=-14$
$x=3\pm\sqrt{29}$
$x=5$
$x=\pm\sqrt{5}$

Question 4

Question

$2x^2+4x+2=0$

Answer

$x=-1$
$x=-3\pm3\sqrt{5}$
$x=0, x=1$
$x=\pm\sqrt{7}$

Question 5

Question

$2x^2-12x-10=0$

Answer

$x=3\pm\sqrt{14}$
$x=\pm11$
$x=\pm\sqrt{19}$
$x=4, x=-8$

Question 6

Question

$3x^2-48=0$

Answer

$x=\pm4$
$x=-1, x=-8$
$x=-5\pm4\sqrt{10}$
$x=\pm\sqrt{2}$

Question 7

Question

$x^2+2x-14=0$

Answer

$x=-1\pm\sqrt{15}$
$x=3\pm4\sqrt{3}$
$x=-7, x=5$
$x=\pm7$

Question 8

Question

$5x^2-65=0$

Answer

$x=\pm\sqrt{13}$
$x=\pm25$
$x=-10, x=3$
$x=-6\pm\sqrt{3}$

Question 9

Question

$4x^2-20x=0$

Answer

$x=0,x=5$
$x=\pm2$
$x=-8\pm2\sqrt{2}$
$x=\pm6\sqrt{11}$

Question 10

Question

$x^2-12x-1=0$

Answer

$x=6\pm\sqrt{37}$
$x=-12, x=9$
$x=7\pm\sqrt{7}$
$x=-6$

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