Question

use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

Answer 1

The solutions of the quadratic equation x² - 5x - 36 = 0 are -4 and 9.

The graph is attached below.

• We are given a quadratic function.
• A polynomial equation of degree two in one variable is a quadratic equation.
• The function given to us is :
• y = x² - 5x - 36
• We need to find the solution of the quadratic function.
• To find the roots, let y = 0.
• x² - 5x - 36 = 0
• Use the quadratic formula.
• In elementary algebra, the quadratic formula is a formula that gives the solution(s) to a quadratic equation.
• x = [-b±√b²-4ac]/2a
• x = [-(-5) ± √25 - 4(1)(-36)]/2(1)
• x = (5 ± √25 + 144)/2
• x = (5 ± √169)/2
• x = (5 ± 13)/2
• x = 9 or x = -4

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