Physics and Maths (STEM) Tutor - coaching for all - from GCSE through A-Level to Degree
Other tutor / coaching services: GCSE/A-level Computer Science
Proper, Improper and Mixed Fractions
Fractional Arithmetic
Changing the Subject of an Expression
Multiplying Expressions
Factorising Quadratic Expressions
Ex. 0:
-5 x2 + -1 x + -4 = 0
=>
No real roots
(x -
1 + i √79
-10
) (x -
1 - i √79
-10
)
Ex. 1:
-3 x2 + 6 x + -6 = 0
=>
No real roots
(x -
-1
-1
) (x -
-1
-1
)
Ex. 2:
9 x2 + -8 x + 9 = 0
=>
No real roots
(x -
8 + i √260
18
) (x -
8 - i √260
18
)
Ex. 3:
7 x2 + -3 x + -8 = 0
=>
(x -
3 + √233
14
) (x -
3 - √233
14
)
Ex. 4:
8 x2 + -2 x + 8 = 0
=>
No real roots
(x -
2 + i √252
16
) (x -
2 - i √252
16
)
Ex. 5:
4 x2 + 5 x + -6 = 0
=>
(x -
3
4
) (x -
-2
1
)
Ex. 6:
-9 x2 + 6 x + -2 = 0
=>
No real roots
(x -
-1
-3
) (x -
-1
-3
)
Ex. 7:
4 x2 + 9 x + 7 = 0
=>
No real roots
(x -
-9 + i √31
8
) (x -
-9 - i √31
8
)
Ex. 8:
8 x2 + 7 x + 3 = 0
=>
No real roots
(x -
-7 + i √47
16
) (x -
-7 - i √47
16
)
Ex. 9:
9 x2 + 1 x + 2 = 0
=>
No real roots
(x -
-1 + i √71
18
) (x -
-1 - i √71
18
)