![]() ![]() Find the solutions of the equation x² = 45.Find the solutions of the equation x 2 = 1.The length of the ladder =√365 ≈ 19.1 m Exercise X 2 = 13²+14², from the Pythagorean theorem.Īs the length of the ladder cannot be negative The solutions of the quadratic equation are x = +√25 and x = – 25 Real Life ExampleĪ ladder is leaned on a wall, the height on the wall is 13 m, the ladder is 14 m away from the wall, what is the length of the ladder? Step1: Given quadratic equation 3x 2+9 = 69.… (1) The solutions of the quadratic equation are x = +√10 and x = −√10įind the solution of quadratic equation 3x 2+9 = 69 using square roots. Step1: Given quadratic equation 3x 2−4 = 26 … (1) The solutions of the quadratic equation are x = +5 and x = – 5įind the solution of quadratic equation 3x 2−4 = 26 using square roots. Step1: Given quadratic equation x 2– 1 = 24 … (1) The solutions of the quadratic equation are x = +4 and x = -4įind the solution of quadratic equation x 2– 1= 24 using square roots. Step1: Given quadratic equation 4x 2 +5 = 69 … (1) Take the square root on each side of the equation.įind the solution of quadratic equation 4x 2+5 = 69 using square roots. How to solve an equation in the form of ax 2+b=c?įirst write the equation in the form of x 2=a, where a is a real number. Solve Quadratic Equations of the form □□ □+□=□ There is no real number that can be multiplied to get a negative number for which square root can be obtained. The solutions of the quadratic equation are x = +8 and x = -8.įind the solutions of the equation x² = -36. ![]() Step2: By seeing the equation we remember that 64 is square of 8. ![]() The solutions of the quadratic equation are x = +12 and x = -12.įind the solutions of the equation x² = 64. Step2: By seeing the equation we remember that 144 is square of 12. The solutions of the quadratic equation are x = +10 and x = -10.įind the solutions of the equation x 2 = 144. Step2: By seeing the equation we remember that 100 is the square of 10. The solutions of the quadratic equation are x = +11 and x = -11.įind the solutions of the equation x 2 = 100. ![]()
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