Which are the solutions of x2 = –11x + 4?

x =  0.35   or x = -11.35

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that,  x² = –11x + 4

x² + 11x - 4 = 0

To find the solution

Here a = 1, b = 11 and c = -4

x = [-b ± √(b² - 4ac)]/2a

x = [-11 ± √(11² - 4 * 1 * (-4))]/2*1

 =  [-11 ± √(121 + 16)]2

 = [-11 ± √137]/2

 = [-11 ± 11.70]/2

x = -11 + 11.70  or x = -11 - 11.70

x =  0.35   or x = -11.35

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step-by-step explanation: