mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Powerful quadratics

Source: nrich
Find all real solutions to
$$(x^2-7x+11)^{(x^2-11x+30)}=1.$$

Show answer

If you enjoyed this puzzle, check out Sunday Afternoon Maths LV,
puzzles about algebra, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

arrows palindromes proportion polynomials algebra fractions axes addition consecutive numbers square numbers complex numbers multiples 3d shapes symmetry probability determinants shapes number sport digital products routes lines binary cryptic crossnumbers perfect numbers bases squares time hexagons graphs digits irreducible numbers books volume dodecagons surds odd numbers numbers prime numbers circles dates 2d shapes coins unit fractions dominos colouring factors grids calculus means planes percentages ellipses parabolas range ave division matrices pentagons multiplication chocolate area probabilty indices speed crossnumbers chalkdust crossnumber folding tube maps quadratics floors geometric mean people maths remainders partitions mean expansions tangents consecutive integers wordplay quadrilaterals sum to infinity products regular shapes perimeter taxicab geometry angles sequences the only crossnumber gerrymandering decahedra differentiation logic polygons christmas geometric means integers combinatorics digital clocks triangles square roots money doubling cryptic clues median games rugby cubics functions triangle numbers integration factorials sums rectangles shape tiling spheres cards tournaments chess menace dice coordinates clocks albgebra trigonometry advent pascal's triangle balancing geometry sets scales star numbers elections crosswords cube numbers averages even numbers crossnumber

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024